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Finding the Fourth Proportional to 2,666.80, 3,680.14 and 1,471.90

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Solution

The fourth proportional to 2,666.80, 3,680.14 and 1,471.90 is: 2,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.80 : 3,680.14 = 1,471.90 : x
  2. Step 2: Convert to fraction form
    2,666.80/3,680.14 = 1,471.90/x
  3. Step 3: Cross multiply
    2,666.80x = 3,680.14 × 1,471.90
  4. Step 4: Simplify right side
    2,666.80x = 5,416,798.07
  5. Step 5: Solve for x
    x = 5,416,798.07/2,666.80
  6. Step 6: Final answer
    x = 2,031.20

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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.