Home / 5,456.08-7,530-3,098.64

Finding the Fourth Proportional to 5,456.08, 7,530 and 3,098.64

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Solution

The fourth proportional to 5,456.08, 7,530 and 3,098.64 is: 4,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.08 : 7,530 = 3,098.64 : x
  2. Step 2: Convert to fraction form
    5,456.08/7,530 = 3,098.64/x
  3. Step 3: Cross multiply
    5,456.08x = 7,530 × 3,098.64
  4. Step 4: Simplify right side
    5,456.08x = 23,332,759.20
  5. Step 5: Solve for x
    x = 23,332,759.20/5,456.08
  6. Step 6: Final answer
    x = 4,276.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.