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Finding the Fourth Proportional to 1,142.30, 1,712.47 and 969.14

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Solution

The fourth proportional to 1,142.30, 1,712.47 and 969.14 is: 1,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.30 : 1,712.47 = 969.14 : x
  2. Step 2: Convert to fraction form
    1,142.30/1,712.47 = 969.14/x
  3. Step 3: Cross multiply
    1,142.30x = 1,712.47 × 969.14
  4. Step 4: Simplify right side
    1,142.30x = 1,659,623.18
  5. Step 5: Solve for x
    x = 1,659,623.18/1,142.30
  6. Step 6: Final answer
    x = 1,452.88

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1.5x scale

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.