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Finding the Fourth Proportional to 2,432.80, 3,643.80 and 971.20

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Solution

The fourth proportional to 2,432.80, 3,643.80 and 971.20 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.80 : 3,643.80 = 971.20 : x
  2. Step 2: Convert to fraction form
    2,432.80/3,643.80 = 971.20/x
  3. Step 3: Cross multiply
    2,432.80x = 3,643.80 × 971.20
  4. Step 4: Simplify right side
    2,432.80x = 3,538,858.56
  5. Step 5: Solve for x
    x = 3,538,858.56/2,432.80
  6. Step 6: Final answer
    x = 1,454.64

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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.