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Finding the Fourth Proportional to 2,472.84, 3,412.89 and 1,424.70

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Solution

The fourth proportional to 2,472.84, 3,412.89 and 1,424.70 is: 1,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.84 : 3,412.89 = 1,424.70 : x
  2. Step 2: Convert to fraction form
    2,472.84/3,412.89 = 1,424.70/x
  3. Step 3: Cross multiply
    2,472.84x = 3,412.89 × 1,424.70
  4. Step 4: Simplify right side
    2,472.84x = 4,862,344.38
  5. Step 5: Solve for x
    x = 4,862,344.38/2,472.84
  6. Step 6: Final answer
    x = 1,966.30

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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.