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Finding the Fourth Proportional to 2,354.40, 3,250.48 and 1,471.40

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Solution

The fourth proportional to 2,354.40, 3,250.48 and 1,471.40 is: 2,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.40 : 3,250.48 = 1,471.40 : x
  2. Step 2: Convert to fraction form
    2,354.40/3,250.48 = 1,471.40/x
  3. Step 3: Cross multiply
    2,354.40x = 3,250.48 × 1,471.40
  4. Step 4: Simplify right side
    2,354.40x = 4,782,751.29
  5. Step 5: Solve for x
    x = 4,782,751.29/2,354.40
  6. Step 6: Final answer
    x = 2,031.41

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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.