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Finding the Fourth Proportional to 8,490.68, 12,726.84 and 3,563

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Solution

The fourth proportional to 8,490.68, 12,726.84 and 3,563 is: 5,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.68 : 12,726.84 = 3,563 : x
  2. Step 2: Convert to fraction form
    8,490.68/12,726.84 = 3,563/x
  3. Step 3: Cross multiply
    8,490.68x = 12,726.84 × 3,563
  4. Step 4: Simplify right side
    8,490.68x = 45,345,730.92
  5. Step 5: Solve for x
    x = 45,345,730.92/8,490.68
  6. Step 6: Final answer
    x = 5,340.65

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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.