Home / 1,432.24-2,150.20-972.06

Finding the Fourth Proportional to 1,432.24, 2,150.20 and 972.06

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Solution

The fourth proportional to 1,432.24, 2,150.20 and 972.06 is: 1,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.24 : 2,150.20 = 972.06 : x
  2. Step 2: Convert to fraction form
    1,432.24/2,150.20 = 972.06/x
  3. Step 3: Cross multiply
    1,432.24x = 2,150.20 × 972.06
  4. Step 4: Simplify right side
    1,432.24x = 2,090,123.41
  5. Step 5: Solve for x
    x = 2,090,123.41/1,432.24
  6. Step 6: Final answer
    x = 1,459.34

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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.