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Finding the Fourth Proportional to 2,574.64, 3,859.62 and 930.04

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Solution

The fourth proportional to 2,574.64, 3,859.62 and 930.04 is: 1,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.64 : 3,859.62 = 930.04 : x
  2. Step 2: Convert to fraction form
    2,574.64/3,859.62 = 930.04/x
  3. Step 3: Cross multiply
    2,574.64x = 3,859.62 × 930.04
  4. Step 4: Simplify right side
    2,574.64x = 3,589,600.98
  5. Step 5: Solve for x
    x = 3,589,600.98/2,574.64
  6. Step 6: Final answer
    x = 1,394.21

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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.