Home / 1,434.04-2,149.53-912.40

Finding the Fourth Proportional to 1,434.04, 2,149.53 and 912.40

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Solution

The fourth proportional to 1,434.04, 2,149.53 and 912.40 is: 1,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.04 : 2,149.53 = 912.40 : x
  2. Step 2: Convert to fraction form
    1,434.04/2,149.53 = 912.40/x
  3. Step 3: Cross multiply
    1,434.04x = 2,149.53 × 912.40
  4. Step 4: Simplify right side
    1,434.04x = 1,961,231.17
  5. Step 5: Solve for x
    x = 1,961,231.17/1,434.04
  6. Step 6: Final answer
    x = 1,367.63

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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.