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Finding the Fourth Proportional to 1,780.56, 2,657.70 and 1,551.42

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Solution

The fourth proportional to 1,780.56, 2,657.70 and 1,551.42 is: 2,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.56 : 2,657.70 = 1,551.42 : x
  2. Step 2: Convert to fraction form
    1,780.56/2,657.70 = 1,551.42/x
  3. Step 3: Cross multiply
    1,780.56x = 2,657.70 × 1,551.42
  4. Step 4: Simplify right side
    1,780.56x = 4,123,208.93
  5. Step 5: Solve for x
    x = 4,123,208.93/1,780.56
  6. Step 6: Final answer
    x = 2,315.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.