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Finding the Fourth Proportional to 2,643.92, 3,962.04 and 1,730

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Solution

The fourth proportional to 2,643.92, 3,962.04 and 1,730 is: 2,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.92 : 3,962.04 = 1,730 : x
  2. Step 2: Convert to fraction form
    2,643.92/3,962.04 = 1,730/x
  3. Step 3: Cross multiply
    2,643.92x = 3,962.04 × 1,730
  4. Step 4: Simplify right side
    2,643.92x = 6,854,329.20
  5. Step 5: Solve for x
    x = 6,854,329.20/2,643.92
  6. Step 6: Final answer
    x = 2,592.49

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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.