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Finding the Fourth Proportional to 8,406.77, 11,588.89 and 5,381.44

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Solution

The fourth proportional to 8,406.77, 11,588.89 and 5,381.44 is: 7,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.77 : 11,588.89 = 5,381.44 : x
  2. Step 2: Convert to fraction form
    8,406.77/11,588.89 = 5,381.44/x
  3. Step 3: Cross multiply
    8,406.77x = 11,588.89 × 5,381.44
  4. Step 4: Simplify right side
    8,406.77x = 62,364,958.63
  5. Step 5: Solve for x
    x = 62,364,958.63/8,406.77
  6. Step 6: Final answer
    x = 7,418.42

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Half scale
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Double scale
Find fourth proportional to 8,407.77, 11,590.27 and 5,382.44
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.