Home / 1,102.30-1,516.33-921.87

Finding the Fourth Proportional to 1,102.30, 1,516.33 and 921.87

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Solution

The fourth proportional to 1,102.30, 1,516.33 and 921.87 is: 1,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.30 : 1,516.33 = 921.87 : x
  2. Step 2: Convert to fraction form
    1,102.30/1,516.33 = 921.87/x
  3. Step 3: Cross multiply
    1,102.30x = 1,516.33 × 921.87
  4. Step 4: Simplify right side
    1,102.30x = 1,397,859.14
  5. Step 5: Solve for x
    x = 1,397,859.14/1,102.30
  6. Step 6: Final answer
    x = 1,268.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.