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Finding the Fourth Proportional to 1,274, 1,910.72 and 1,031.90

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Solution

The fourth proportional to 1,274, 1,910.72 and 1,031.90 is: 1,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274 : 1,910.72 = 1,031.90 : x
  2. Step 2: Convert to fraction form
    1,274/1,910.72 = 1,031.90/x
  3. Step 3: Cross multiply
    1,274x = 1,910.72 × 1,031.90
  4. Step 4: Simplify right side
    1,274x = 1,971,671.97
  5. Step 5: Solve for x
    x = 1,971,671.97/1,274
  6. Step 6: Final answer
    x = 1,547.62

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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.