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Finding the Fourth Proportional to 1,649.02, 2,471 and 1,031.08

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Solution

The fourth proportional to 1,649.02, 2,471 and 1,031.08 is: 1,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.02 : 2,471 = 1,031.08 : x
  2. Step 2: Convert to fraction form
    1,649.02/2,471 = 1,031.08/x
  3. Step 3: Cross multiply
    1,649.02x = 2,471 × 1,031.08
  4. Step 4: Simplify right side
    1,649.02x = 2,547,798.68
  5. Step 5: Solve for x
    x = 2,547,798.68/1,649.02
  6. Step 6: Final answer
    x = 1,545.04

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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.