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Finding the Fourth Proportional to 2,425.70, 3,347.38 and 1,377.70

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Solution

The fourth proportional to 2,425.70, 3,347.38 and 1,377.70 is: 1,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.70 : 3,347.38 = 1,377.70 : x
  2. Step 2: Convert to fraction form
    2,425.70/3,347.38 = 1,377.70/x
  3. Step 3: Cross multiply
    2,425.70x = 3,347.38 × 1,377.70
  4. Step 4: Simplify right side
    2,425.70x = 4,611,685.43
  5. Step 5: Solve for x
    x = 4,611,685.43/2,425.70
  6. Step 6: Final answer
    x = 1,901.18

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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.