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Finding the Fourth Proportional to 2,423.74, 3,635.96 and 864.14

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Solution

The fourth proportional to 2,423.74, 3,635.96 and 864.14 is: 1,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.74 : 3,635.96 = 864.14 : x
  2. Step 2: Convert to fraction form
    2,423.74/3,635.96 = 864.14/x
  3. Step 3: Cross multiply
    2,423.74x = 3,635.96 × 864.14
  4. Step 4: Simplify right side
    2,423.74x = 3,141,978.47
  5. Step 5: Solve for x
    x = 3,141,978.47/2,423.74
  6. Step 6: Final answer
    x = 1,296.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.