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Finding the Fourth Proportional to 5,406.76, 8,097.02 and 4,978.92

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Solution

The fourth proportional to 5,406.76, 8,097.02 and 4,978.92 is: 7,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.76 : 8,097.02 = 4,978.92 : x
  2. Step 2: Convert to fraction form
    5,406.76/8,097.02 = 4,978.92/x
  3. Step 3: Cross multiply
    5,406.76x = 8,097.02 × 4,978.92
  4. Step 4: Simplify right side
    5,406.76x = 40,314,414.82
  5. Step 5: Solve for x
    x = 40,314,414.82/5,406.76
  6. Step 6: Final answer
    x = 7,456.30

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1.5x scale

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.