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Finding the Fourth Proportional to 31,985.60, 47,974.20 and 9,801.20

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Solution

The fourth proportional to 31,985.60, 47,974.20 and 9,801.20 is: 14,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.60 : 47,974.20 = 9,801.20 : x
  2. Step 2: Convert to fraction form
    31,985.60/47,974.20 = 9,801.20/x
  3. Step 3: Cross multiply
    31,985.60x = 47,974.20 × 9,801.20
  4. Step 4: Simplify right side
    31,985.60x = 470,204,729.04
  5. Step 5: Solve for x
    x = 470,204,729.04/31,985.60
  6. Step 6: Final answer
    x = 14,700.51

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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.