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Finding the Fourth Proportional to 25,680, 38,518.74 and 9,892.56

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Solution

The fourth proportional to 25,680, 38,518.74 and 9,892.56 is: 14,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680 : 38,518.74 = 9,892.56 : x
  2. Step 2: Convert to fraction form
    25,680/38,518.74 = 9,892.56/x
  3. Step 3: Cross multiply
    25,680x = 38,518.74 × 9,892.56
  4. Step 4: Simplify right side
    25,680x = 381,048,946.57
  5. Step 5: Solve for x
    x = 381,048,946.57/25,680
  6. Step 6: Final answer
    x = 14,838.35

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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.