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Finding the Fourth Proportional to 8,569.01, 12,857.16 and 3,639.71

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Solution

The fourth proportional to 8,569.01, 12,857.16 and 3,639.71 is: 5,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.01 : 12,857.16 = 3,639.71 : x
  2. Step 2: Convert to fraction form
    8,569.01/12,857.16 = 3,639.71/x
  3. Step 3: Cross multiply
    8,569.01x = 12,857.16 × 3,639.71
  4. Step 4: Simplify right side
    8,569.01x = 46,796,333.82
  5. Step 5: Solve for x
    x = 46,796,333.82/8,569.01
  6. Step 6: Final answer
    x = 5,461.11

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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.