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Finding the Fourth Proportional to 2,424.68, 3,635.70 and 864.44

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Solution

The fourth proportional to 2,424.68, 3,635.70 and 864.44 is: 1,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.68 : 3,635.70 = 864.44 : x
  2. Step 2: Convert to fraction form
    2,424.68/3,635.70 = 864.44/x
  3. Step 3: Cross multiply
    2,424.68x = 3,635.70 × 864.44
  4. Step 4: Simplify right side
    2,424.68x = 3,142,844.51
  5. Step 5: Solve for x
    x = 3,142,844.51/2,424.68
  6. Step 6: Final answer
    x = 1,296.19

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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.