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Finding the Fourth Proportional to 7,230.35, 9,978.17 and 5,458.88

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Solution

The fourth proportional to 7,230.35, 9,978.17 and 5,458.88 is: 7,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.35 : 9,978.17 = 5,458.88 : x
  2. Step 2: Convert to fraction form
    7,230.35/9,978.17 = 5,458.88/x
  3. Step 3: Cross multiply
    7,230.35x = 9,978.17 × 5,458.88
  4. Step 4: Simplify right side
    7,230.35x = 54,469,555.46
  5. Step 5: Solve for x
    x = 54,469,555.46/7,230.35
  6. Step 6: Final answer
    x = 7,533.47

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1.5x scale

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.