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Finding the Fourth Proportional to 5,429.80, 8,140.05 and 5,171.44

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Solution

The fourth proportional to 5,429.80, 8,140.05 and 5,171.44 is: 7,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.80 : 8,140.05 = 5,171.44 : x
  2. Step 2: Convert to fraction form
    5,429.80/8,140.05 = 5,171.44/x
  3. Step 3: Cross multiply
    5,429.80x = 8,140.05 × 5,171.44
  4. Step 4: Simplify right side
    5,429.80x = 42,095,780.17
  5. Step 5: Solve for x
    x = 42,095,780.17/5,429.80
  6. Step 6: Final answer
    x = 7,752.73

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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.