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Finding the Fourth Proportional to 11,399.04, 15,694.08 and 9,926.40

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Solution

The fourth proportional to 11,399.04, 15,694.08 and 9,926.40 is: 13,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.04 : 15,694.08 = 9,926.40 : x
  2. Step 2: Convert to fraction form
    11,399.04/15,694.08 = 9,926.40/x
  3. Step 3: Cross multiply
    11,399.04x = 15,694.08 × 9,926.40
  4. Step 4: Simplify right side
    11,399.04x = 155,785,715.71
  5. Step 5: Solve for x
    x = 155,785,715.71/11,399.04
  6. Step 6: Final answer
    x = 13,666.56

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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.