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Finding the Fourth Proportional to 31,159.76, 46,700.76 and 15,581.84

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Solution

The fourth proportional to 31,159.76, 46,700.76 and 15,581.84 is: 23,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.76 : 46,700.76 = 15,581.84 : x
  2. Step 2: Convert to fraction form
    31,159.76/46,700.76 = 15,581.84/x
  3. Step 3: Cross multiply
    31,159.76x = 46,700.76 × 15,581.84
  4. Step 4: Simplify right side
    31,159.76x = 727,683,770.20
  5. Step 5: Solve for x
    x = 727,683,770.20/31,159.76
  6. Step 6: Final answer
    x = 23,353.32

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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.