Home / 1,432.14-2,146.20-609.30

Finding the Fourth Proportional to 1,432.14, 2,146.20 and 609.30

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Solution

The fourth proportional to 1,432.14, 2,146.20 and 609.30 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.14 : 2,146.20 = 609.30 : x
  2. Step 2: Convert to fraction form
    1,432.14/2,146.20 = 609.30/x
  3. Step 3: Cross multiply
    1,432.14x = 2,146.20 × 609.30
  4. Step 4: Simplify right side
    1,432.14x = 1,307,679.66
  5. Step 5: Solve for x
    x = 1,307,679.66/1,432.14
  6. Step 6: Final answer
    x = 913.09

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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.