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Finding the Fourth Proportional to 5,200.76, 7,801.02 and 3,530.70

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Solution

The fourth proportional to 5,200.76, 7,801.02 and 3,530.70 is: 5,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.76 : 7,801.02 = 3,530.70 : x
  2. Step 2: Convert to fraction form
    5,200.76/7,801.02 = 3,530.70/x
  3. Step 3: Cross multiply
    5,200.76x = 7,801.02 × 3,530.70
  4. Step 4: Simplify right side
    5,200.76x = 27,543,061.31
  5. Step 5: Solve for x
    x = 27,543,061.31/5,200.76
  6. Step 6: Final answer
    x = 5,295.97

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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.