Home / 1,432.66-2,149.26-946.12

Finding the Fourth Proportional to 1,432.66, 2,149.26 and 946.12

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Solution

The fourth proportional to 1,432.66, 2,149.26 and 946.12 is: 1,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.66 : 2,149.26 = 946.12 : x
  2. Step 2: Convert to fraction form
    1,432.66/2,149.26 = 946.12/x
  3. Step 3: Cross multiply
    1,432.66x = 2,149.26 × 946.12
  4. Step 4: Simplify right side
    1,432.66x = 2,033,457.87
  5. Step 5: Solve for x
    x = 2,033,457.87/1,432.66
  6. Step 6: Final answer
    x = 1,419.36

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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.