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Finding the Fourth Proportional to 9,935.64, 13,711.11 and 5,398.41

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Solution

The fourth proportional to 9,935.64, 13,711.11 and 5,398.41 is: 7,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.64 : 13,711.11 = 5,398.41 : x
  2. Step 2: Convert to fraction form
    9,935.64/13,711.11 = 5,398.41/x
  3. Step 3: Cross multiply
    9,935.64x = 13,711.11 × 5,398.41
  4. Step 4: Simplify right side
    9,935.64x = 74,018,193.34
  5. Step 5: Solve for x
    x = 74,018,193.34/9,935.64
  6. Step 6: Final answer
    x = 7,449.77

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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.