Home / 1,035.90-1,549.26-921.15

Finding the Fourth Proportional to 1,035.90, 1,549.26 and 921.15

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Solution

The fourth proportional to 1,035.90, 1,549.26 and 921.15 is: 1,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.90 : 1,549.26 = 921.15 : x
  2. Step 2: Convert to fraction form
    1,035.90/1,549.26 = 921.15/x
  3. Step 3: Cross multiply
    1,035.90x = 1,549.26 × 921.15
  4. Step 4: Simplify right side
    1,035.90x = 1,427,100.85
  5. Step 5: Solve for x
    x = 1,427,100.85/1,035.90
  6. Step 6: Final answer
    x = 1,377.64

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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.