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Finding the Fourth Proportional to 2,472.88, 3,412.12 and 1,424.56

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Solution

The fourth proportional to 2,472.88, 3,412.12 and 1,424.56 is: 1,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.88 : 3,412.12 = 1,424.56 : x
  2. Step 2: Convert to fraction form
    2,472.88/3,412.12 = 1,424.56/x
  3. Step 3: Cross multiply
    2,472.88x = 3,412.12 × 1,424.56
  4. Step 4: Simplify right side
    2,472.88x = 4,860,769.67
  5. Step 5: Solve for x
    x = 4,860,769.67/2,472.88
  6. Step 6: Final answer
    x = 1,965.63

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1.5x scale

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.