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Finding the Fourth Proportional to 2,565.74, 3,848.61 and 1,836.74

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Solution

The fourth proportional to 2,565.74, 3,848.61 and 1,836.74 is: 2,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.74 : 3,848.61 = 1,836.74 : x
  2. Step 2: Convert to fraction form
    2,565.74/3,848.61 = 1,836.74/x
  3. Step 3: Cross multiply
    2,565.74x = 3,848.61 × 1,836.74
  4. Step 4: Simplify right side
    2,565.74x = 7,068,876.69
  5. Step 5: Solve for x
    x = 7,068,876.69/2,565.74
  6. Step 6: Final answer
    x = 2,755.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.