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Finding the Fourth Proportional to 8,406.88, 11,605.35 and 5,985.82

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Solution

The fourth proportional to 8,406.88, 11,605.35 and 5,985.82 is: 8,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.88 : 11,605.35 = 5,985.82 : x
  2. Step 2: Convert to fraction form
    8,406.88/11,605.35 = 5,985.82/x
  3. Step 3: Cross multiply
    8,406.88x = 11,605.35 × 5,985.82
  4. Step 4: Simplify right side
    8,406.88x = 69,467,507.12
  5. Step 5: Solve for x
    x = 69,467,507.12/8,406.88
  6. Step 6: Final answer
    x = 8,263.17

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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.