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Finding the Fourth Proportional to 25,643.53, 38,470.29 and 9,847.40

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Solution

The fourth proportional to 25,643.53, 38,470.29 and 9,847.40 is: 14,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.53 : 38,470.29 = 9,847.40 : x
  2. Step 2: Convert to fraction form
    25,643.53/38,470.29 = 9,847.40/x
  3. Step 3: Cross multiply
    25,643.53x = 38,470.29 × 9,847.40
  4. Step 4: Simplify right side
    25,643.53x = 378,832,464.76
  5. Step 5: Solve for x
    x = 378,832,464.76/25,643.53
  6. Step 6: Final answer
    x = 14,773.02

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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.