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Finding the Fourth Proportional to 1,431.84, 2,145.76 and 781.12

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Solution

The fourth proportional to 1,431.84, 2,145.76 and 781.12 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.84 : 2,145.76 = 781.12 : x
  2. Step 2: Convert to fraction form
    1,431.84/2,145.76 = 781.12/x
  3. Step 3: Cross multiply
    1,431.84x = 2,145.76 × 781.12
  4. Step 4: Simplify right side
    1,431.84x = 1,676,096.05
  5. Step 5: Solve for x
    x = 1,676,096.05/1,431.84
  6. Step 6: Final answer
    x = 1,170.59

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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.