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Finding the Fourth Proportional to 31,388.78, 47,089.65 and 9,202.88

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Solution

The fourth proportional to 31,388.78, 47,089.65 and 9,202.88 is: 13,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.78 : 47,089.65 = 9,202.88 : x
  2. Step 2: Convert to fraction form
    31,388.78/47,089.65 = 9,202.88/x
  3. Step 3: Cross multiply
    31,388.78x = 47,089.65 × 9,202.88
  4. Step 4: Simplify right side
    31,388.78x = 433,360,398.19
  5. Step 5: Solve for x
    x = 433,360,398.19/31,388.78
  6. Step 6: Final answer
    x = 13,806.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.