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Finding the Fourth Proportional to 11,385, 15,712.32 and 6,909.84

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Solution

The fourth proportional to 11,385, 15,712.32 and 6,909.84 is: 9,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385 : 15,712.32 = 6,909.84 : x
  2. Step 2: Convert to fraction form
    11,385/15,712.32 = 6,909.84/x
  3. Step 3: Cross multiply
    11,385x = 15,712.32 × 6,909.84
  4. Step 4: Simplify right side
    11,385x = 108,569,617.23
  5. Step 5: Solve for x
    x = 108,569,617.23/11,385
  6. Step 6: Final answer
    x = 9,536.20

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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.