Home / 2,432.28-3,647.88-971.04

Finding the Fourth Proportional to 2,432.28, 3,647.88 and 971.04

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Solution

The fourth proportional to 2,432.28, 3,647.88 and 971.04 is: 1,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.28 : 3,647.88 = 971.04 : x
  2. Step 2: Convert to fraction form
    2,432.28/3,647.88 = 971.04/x
  3. Step 3: Cross multiply
    2,432.28x = 3,647.88 × 971.04
  4. Step 4: Simplify right side
    2,432.28x = 3,542,237.40
  5. Step 5: Solve for x
    x = 3,542,237.40/2,432.28
  6. Step 6: Final answer
    x = 1,456.34

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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.