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Finding the Fourth Proportional to 5,200.62, 7,800.91 and 4,487.10

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Solution

The fourth proportional to 5,200.62, 7,800.91 and 4,487.10 is: 6,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.62 : 7,800.91 = 4,487.10 : x
  2. Step 2: Convert to fraction form
    5,200.62/7,800.91 = 4,487.10/x
  3. Step 3: Cross multiply
    5,200.62x = 7,800.91 × 4,487.10
  4. Step 4: Simplify right side
    5,200.62x = 35,003,463.26
  5. Step 5: Solve for x
    x = 35,003,463.26/5,200.62
  6. Step 6: Final answer
    x = 6,730.63

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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.