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Finding the Fourth Proportional to 1,142.07, 1,575.12 and 787.91

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Solution

The fourth proportional to 1,142.07, 1,575.12 and 787.91 is: 1,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.07 : 1,575.12 = 787.91 : x
  2. Step 2: Convert to fraction form
    1,142.07/1,575.12 = 787.91/x
  3. Step 3: Cross multiply
    1,142.07x = 1,575.12 × 787.91
  4. Step 4: Simplify right side
    1,142.07x = 1,241,047.88
  5. Step 5: Solve for x
    x = 1,241,047.88/1,142.07
  6. Step 6: Final answer
    x = 1,086.67

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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.