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Finding the Fourth Proportional to 31,881.84, 47,821.68 and 8,507.04

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Solution

The fourth proportional to 31,881.84, 47,821.68 and 8,507.04 is: 12,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.84 : 47,821.68 = 8,507.04 : x
  2. Step 2: Convert to fraction form
    31,881.84/47,821.68 = 8,507.04/x
  3. Step 3: Cross multiply
    31,881.84x = 47,821.68 × 8,507.04
  4. Step 4: Simplify right side
    31,881.84x = 406,820,944.63
  5. Step 5: Solve for x
    x = 406,820,944.63/31,881.84
  6. Step 6: Final answer
    x = 12,760.27

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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.