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Finding the Fourth Proportional to 8,356.10, 12,534.17 and 3,424.86

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Solution

The fourth proportional to 8,356.10, 12,534.17 and 3,424.86 is: 5,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.10 : 12,534.17 = 3,424.86 : x
  2. Step 2: Convert to fraction form
    8,356.10/12,534.17 = 3,424.86/x
  3. Step 3: Cross multiply
    8,356.10x = 12,534.17 × 3,424.86
  4. Step 4: Simplify right side
    8,356.10x = 42,927,777.47
  5. Step 5: Solve for x
    x = 42,927,777.47/8,356.10
  6. Step 6: Final answer
    x = 5,137.30

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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.