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Finding the Fourth Proportional to 31,142.35, 46,706.52 and 8,950.78

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Solution

The fourth proportional to 31,142.35, 46,706.52 and 8,950.78 is: 13,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.35 : 46,706.52 = 8,950.78 : x
  2. Step 2: Convert to fraction form
    31,142.35/46,706.52 = 8,950.78/x
  3. Step 3: Cross multiply
    31,142.35x = 46,706.52 × 8,950.78
  4. Step 4: Simplify right side
    31,142.35x = 418,059,785.09
  5. Step 5: Solve for x
    x = 418,059,785.09/31,142.35
  6. Step 6: Final answer
    x = 13,424.16

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1.5x scale

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.