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Finding the Fourth Proportional to 8,557.76, 12,836 and 5,092

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Solution

The fourth proportional to 8,557.76, 12,836 and 5,092 is: 7,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.76 : 12,836 = 5,092 : x
  2. Step 2: Convert to fraction form
    8,557.76/12,836 = 5,092/x
  3. Step 3: Cross multiply
    8,557.76x = 12,836 × 5,092
  4. Step 4: Simplify right side
    8,557.76x = 65,360,912
  5. Step 5: Solve for x
    x = 65,360,912/8,557.76
  6. Step 6: Final answer
    x = 7,637.62

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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.