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Finding the Fourth Proportional to 2,565.60, 3,848.81 and 922.74

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Solution

The fourth proportional to 2,565.60, 3,848.81 and 922.74 is: 1,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.60 : 3,848.81 = 922.74 : x
  2. Step 2: Convert to fraction form
    2,565.60/3,848.81 = 922.74/x
  3. Step 3: Cross multiply
    2,565.60x = 3,848.81 × 922.74
  4. Step 4: Simplify right side
    2,565.60x = 3,551,446.33
  5. Step 5: Solve for x
    x = 3,551,446.33/2,565.60
  6. Step 6: Final answer
    x = 1,384.26

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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.