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Finding the Fourth Proportional to 2,487.36, 3,727.80 and 1,024.50

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Solution

The fourth proportional to 2,487.36, 3,727.80 and 1,024.50 is: 1,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.36 : 3,727.80 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    2,487.36/3,727.80 = 1,024.50/x
  3. Step 3: Cross multiply
    2,487.36x = 3,727.80 × 1,024.50
  4. Step 4: Simplify right side
    2,487.36x = 3,819,131.10
  5. Step 5: Solve for x
    x = 3,819,131.10/2,487.36
  6. Step 6: Final answer
    x = 1,535.42

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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.