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Finding the Fourth Proportional to 2,472.80, 3,709.40 and 2,014.47

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Solution

The fourth proportional to 2,472.80, 3,709.40 and 2,014.47 is: 3,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.80 : 3,709.40 = 2,014.47 : x
  2. Step 2: Convert to fraction form
    2,472.80/3,709.40 = 2,014.47/x
  3. Step 3: Cross multiply
    2,472.80x = 3,709.40 × 2,014.47
  4. Step 4: Simplify right side
    2,472.80x = 7,472,464.95
  5. Step 5: Solve for x
    x = 7,472,464.95/2,472.80
  6. Step 6: Final answer
    x = 3,021.87

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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.