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Finding the Fourth Proportional to 2,439, 3,660 and 2,419.32

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Solution

The fourth proportional to 2,439, 3,660 and 2,419.32 is: 3,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 3,660 = 2,419.32 : x
  2. Step 2: Convert to fraction form
    2,439/3,660 = 2,419.32/x
  3. Step 3: Cross multiply
    2,439x = 3,660 × 2,419.32
  4. Step 4: Simplify right side
    2,439x = 8,854,711.20
  5. Step 5: Solve for x
    x = 8,854,711.20/2,439
  6. Step 6: Final answer
    x = 3,630.47

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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.