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Finding the Fourth Proportional to 2,565.76, 3,848.24 and 716.68

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Solution

The fourth proportional to 2,565.76, 3,848.24 and 716.68 is: 1,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.76 : 3,848.24 = 716.68 : x
  2. Step 2: Convert to fraction form
    2,565.76/3,848.24 = 716.68/x
  3. Step 3: Cross multiply
    2,565.76x = 3,848.24 × 716.68
  4. Step 4: Simplify right side
    2,565.76x = 2,757,956.64
  5. Step 5: Solve for x
    x = 2,757,956.64/2,565.76
  6. Step 6: Final answer
    x = 1,074.91

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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.