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Finding the Fourth Proportional to 31,987.34, 47,981.01 and 9,800.63

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Solution

The fourth proportional to 31,987.34, 47,981.01 and 9,800.63 is: 14,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.34 : 47,981.01 = 9,800.63 : x
  2. Step 2: Convert to fraction form
    31,987.34/47,981.01 = 9,800.63/x
  3. Step 3: Cross multiply
    31,987.34x = 47,981.01 × 9,800.63
  4. Step 4: Simplify right side
    31,987.34x = 470,244,126.04
  5. Step 5: Solve for x
    x = 470,244,126.04/31,987.34
  6. Step 6: Final answer
    x = 14,700.95

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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.