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Finding the Fourth Proportional to 31,643.90, 47,471.31 and 12,934.11

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Solution

The fourth proportional to 31,643.90, 47,471.31 and 12,934.11 is: 19,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.90 : 47,471.31 = 12,934.11 : x
  2. Step 2: Convert to fraction form
    31,643.90/47,471.31 = 12,934.11/x
  3. Step 3: Cross multiply
    31,643.90x = 47,471.31 × 12,934.11
  4. Step 4: Simplify right side
    31,643.90x = 613,999,145.38
  5. Step 5: Solve for x
    x = 613,999,145.38/31,643.90
  6. Step 6: Final answer
    x = 19,403.40

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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.