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Finding the Fourth Proportional to 5,179.84, 7,148.80 and 3,189.92

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Solution

The fourth proportional to 5,179.84, 7,148.80 and 3,189.92 is: 4,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.84 : 7,148.80 = 3,189.92 : x
  2. Step 2: Convert to fraction form
    5,179.84/7,148.80 = 3,189.92/x
  3. Step 3: Cross multiply
    5,179.84x = 7,148.80 × 3,189.92
  4. Step 4: Simplify right side
    5,179.84x = 22,804,100.10
  5. Step 5: Solve for x
    x = 22,804,100.10/5,179.84
  6. Step 6: Final answer
    x = 4,402.47

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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.