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Finding the Fourth Proportional to 8,569.53, 12,855.31 and 2,646.61

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Solution

The fourth proportional to 8,569.53, 12,855.31 and 2,646.61 is: 3,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.53 : 12,855.31 = 2,646.61 : x
  2. Step 2: Convert to fraction form
    8,569.53/12,855.31 = 2,646.61/x
  3. Step 3: Cross multiply
    8,569.53x = 12,855.31 × 2,646.61
  4. Step 4: Simplify right side
    8,569.53x = 34,022,953.24
  5. Step 5: Solve for x
    x = 34,022,953.24/8,569.53
  6. Step 6: Final answer
    x = 3,970.22

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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.