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Finding the Fourth Proportional to 1,294.77, 1,932.14 and 1,156.32

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Solution

The fourth proportional to 1,294.77, 1,932.14 and 1,156.32 is: 1,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.77 : 1,932.14 = 1,156.32 : x
  2. Step 2: Convert to fraction form
    1,294.77/1,932.14 = 1,156.32/x
  3. Step 3: Cross multiply
    1,294.77x = 1,932.14 × 1,156.32
  4. Step 4: Simplify right side
    1,294.77x = 2,234,166.34
  5. Step 5: Solve for x
    x = 2,234,166.34/1,294.77
  6. Step 6: Final answer
    x = 1,725.53

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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.