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Finding the Fourth Proportional to 1,455.31, 2,174.11 and 931.12

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Solution

The fourth proportional to 1,455.31, 2,174.11 and 931.12 is: 1,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.31 : 2,174.11 = 931.12 : x
  2. Step 2: Convert to fraction form
    1,455.31/2,174.11 = 931.12/x
  3. Step 3: Cross multiply
    1,455.31x = 2,174.11 × 931.12
  4. Step 4: Simplify right side
    1,455.31x = 2,024,357.30
  5. Step 5: Solve for x
    x = 2,024,357.30/1,455.31
  6. Step 6: Final answer
    x = 1,391.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.