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Finding the Fourth Proportional to 25,643.52, 38,470.86 and 8,113.50

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Solution

The fourth proportional to 25,643.52, 38,470.86 and 8,113.50 is: 12,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.52 : 38,470.86 = 8,113.50 : x
  2. Step 2: Convert to fraction form
    25,643.52/38,470.86 = 8,113.50/x
  3. Step 3: Cross multiply
    25,643.52x = 38,470.86 × 8,113.50
  4. Step 4: Simplify right side
    25,643.52x = 312,133,322.61
  5. Step 5: Solve for x
    x = 312,133,322.61/25,643.52
  6. Step 6: Final answer
    x = 12,172.02

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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.