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Finding the Fourth Proportional to 5,712.68, 8,569.64 and 1,816.17

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Solution

The fourth proportional to 5,712.68, 8,569.64 and 1,816.17 is: 2,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.68 : 8,569.64 = 1,816.17 : x
  2. Step 2: Convert to fraction form
    5,712.68/8,569.64 = 1,816.17/x
  3. Step 3: Cross multiply
    5,712.68x = 8,569.64 × 1,816.17
  4. Step 4: Simplify right side
    5,712.68x = 15,563,927.62
  5. Step 5: Solve for x
    x = 15,563,927.62/5,712.68
  6. Step 6: Final answer
    x = 2,724.46

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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.