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Finding the Fourth Proportional to 2,565.76, 3,840.96 and 1,651.84

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Solution

The fourth proportional to 2,565.76, 3,840.96 and 1,651.84 is: 2,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.76 : 3,840.96 = 1,651.84 : x
  2. Step 2: Convert to fraction form
    2,565.76/3,840.96 = 1,651.84/x
  3. Step 3: Cross multiply
    2,565.76x = 3,840.96 × 1,651.84
  4. Step 4: Simplify right side
    2,565.76x = 6,344,651.37
  5. Step 5: Solve for x
    x = 6,344,651.37/2,565.76
  6. Step 6: Final answer
    x = 2,472.82

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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.