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Finding the Fourth Proportional to 31,468.28, 47,191.41 and 9,275.76

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Solution

The fourth proportional to 31,468.28, 47,191.41 and 9,275.76 is: 13,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.28 : 47,191.41 = 9,275.76 : x
  2. Step 2: Convert to fraction form
    31,468.28/47,191.41 = 9,275.76/x
  3. Step 3: Cross multiply
    31,468.28x = 47,191.41 × 9,275.76
  4. Step 4: Simplify right side
    31,468.28x = 437,736,193.22
  5. Step 5: Solve for x
    x = 437,736,193.22/31,468.28
  6. Step 6: Final answer
    x = 13,910.40

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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.