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Finding the Fourth Proportional to 8,569.76, 12,857.16 and 2,726.24

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Solution

The fourth proportional to 8,569.76, 12,857.16 and 2,726.24 is: 4,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.76 : 12,857.16 = 2,726.24 : x
  2. Step 2: Convert to fraction form
    8,569.76/12,857.16 = 2,726.24/x
  3. Step 3: Cross multiply
    8,569.76x = 12,857.16 × 2,726.24
  4. Step 4: Simplify right side
    8,569.76x = 35,051,703.88
  5. Step 5: Solve for x
    x = 35,051,703.88/8,569.76
  6. Step 6: Final answer
    x = 4,090.16

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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.