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Finding the Fourth Proportional to 31,980.12, 47,972.49 and 9,790.62

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Solution

The fourth proportional to 31,980.12, 47,972.49 and 9,790.62 is: 14,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.12 : 47,972.49 = 9,790.62 : x
  2. Step 2: Convert to fraction form
    31,980.12/47,972.49 = 9,790.62/x
  3. Step 3: Cross multiply
    31,980.12x = 47,972.49 × 9,790.62
  4. Step 4: Simplify right side
    31,980.12x = 469,680,420.04
  5. Step 5: Solve for x
    x = 469,680,420.04/31,980.12
  6. Step 6: Final answer
    x = 14,686.64

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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.