Home / 1,432.12-2,148.20-406.12

Finding the Fourth Proportional to 1,432.12, 2,148.20 and 406.12

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Solution

The fourth proportional to 1,432.12, 2,148.20 and 406.12 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.12 : 2,148.20 = 406.12 : x
  2. Step 2: Convert to fraction form
    1,432.12/2,148.20 = 406.12/x
  3. Step 3: Cross multiply
    1,432.12x = 2,148.20 × 406.12
  4. Step 4: Simplify right side
    1,432.12x = 872,426.98
  5. Step 5: Solve for x
    x = 872,426.98/1,432.12
  6. Step 6: Final answer
    x = 609.19

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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.