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Finding the Fourth Proportional to 4,548.92, 6,830.04 and 3,978.68

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Solution

The fourth proportional to 4,548.92, 6,830.04 and 3,978.68 is: 5,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.92 : 6,830.04 = 3,978.68 : x
  2. Step 2: Convert to fraction form
    4,548.92/6,830.04 = 3,978.68/x
  3. Step 3: Cross multiply
    4,548.92x = 6,830.04 × 3,978.68
  4. Step 4: Simplify right side
    4,548.92x = 27,174,543.55
  5. Step 5: Solve for x
    x = 27,174,543.55/4,548.92
  6. Step 6: Final answer
    x = 5,973.85

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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.