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Finding the Fourth Proportional to 11,782, 16,259.54 and 6,477.20

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Solution

The fourth proportional to 11,782, 16,259.54 and 6,477.20 is: 8,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782 : 16,259.54 = 6,477.20 : x
  2. Step 2: Convert to fraction form
    11,782/16,259.54 = 6,477.20/x
  3. Step 3: Cross multiply
    11,782x = 16,259.54 × 6,477.20
  4. Step 4: Simplify right side
    11,782x = 105,316,292.49
  5. Step 5: Solve for x
    x = 105,316,292.49/11,782
  6. Step 6: Final answer
    x = 8,938.74

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Double scale
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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.