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Finding the Fourth Proportional to 1,842.55, 2,780.53 and 1,780.58

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Solution

The fourth proportional to 1,842.55, 2,780.53 and 1,780.58 is: 2,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.55 : 2,780.53 = 1,780.58 : x
  2. Step 2: Convert to fraction form
    1,842.55/2,780.53 = 1,780.58/x
  3. Step 3: Cross multiply
    1,842.55x = 2,780.53 × 1,780.58
  4. Step 4: Simplify right side
    1,842.55x = 4,950,958.61
  5. Step 5: Solve for x
    x = 4,950,958.61/1,842.55
  6. Step 6: Final answer
    x = 2,687.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.