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Finding the Fourth Proportional to 9,902.88, 13,665.87 and 5,426.64

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Solution

The fourth proportional to 9,902.88, 13,665.87 and 5,426.64 is: 7,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.88 : 13,665.87 = 5,426.64 : x
  2. Step 2: Convert to fraction form
    9,902.88/13,665.87 = 5,426.64/x
  3. Step 3: Cross multiply
    9,902.88x = 13,665.87 × 5,426.64
  4. Step 4: Simplify right side
    9,902.88x = 74,159,756.78
  5. Step 5: Solve for x
    x = 74,159,756.78/9,902.88
  6. Step 6: Final answer
    x = 7,488.71

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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.