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Finding the Fourth Proportional to 1,402.96, 1,936.21 and 1,031.17

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Solution

The fourth proportional to 1,402.96, 1,936.21 and 1,031.17 is: 1,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.96 : 1,936.21 = 1,031.17 : x
  2. Step 2: Convert to fraction form
    1,402.96/1,936.21 = 1,031.17/x
  3. Step 3: Cross multiply
    1,402.96x = 1,936.21 × 1,031.17
  4. Step 4: Simplify right side
    1,402.96x = 1,996,551.98
  5. Step 5: Solve for x
    x = 1,996,551.98/1,402.96
  6. Step 6: Final answer
    x = 1,423.10

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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.