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Finding the Fourth Proportional to 2,565.14, 3,848.28 and 922.88

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Solution

The fourth proportional to 2,565.14, 3,848.28 and 922.88 is: 1,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.14 : 3,848.28 = 922.88 : x
  2. Step 2: Convert to fraction form
    2,565.14/3,848.28 = 922.88/x
  3. Step 3: Cross multiply
    2,565.14x = 3,848.28 × 922.88
  4. Step 4: Simplify right side
    2,565.14x = 3,551,500.65
  5. Step 5: Solve for x
    x = 3,551,500.65/2,565.14
  6. Step 6: Final answer
    x = 1,384.53

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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.