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Finding the Fourth Proportional to 31,677.97, 47,509.47 and 10,618.78

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Solution

The fourth proportional to 31,677.97, 47,509.47 and 10,618.78 is: 15,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.97 : 47,509.47 = 10,618.78 : x
  2. Step 2: Convert to fraction form
    31,677.97/47,509.47 = 10,618.78/x
  3. Step 3: Cross multiply
    31,677.97x = 47,509.47 × 10,618.78
  4. Step 4: Simplify right side
    31,677.97x = 504,492,609.85
  5. Step 5: Solve for x
    x = 504,492,609.85/31,677.97
  6. Step 6: Final answer
    x = 15,925.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.