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Finding the Fourth Proportional to 5,221.70, 7,832.55 and 4,978.70

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Solution

The fourth proportional to 5,221.70, 7,832.55 and 4,978.70 is: 7,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.70 : 7,832.55 = 4,978.70 : x
  2. Step 2: Convert to fraction form
    5,221.70/7,832.55 = 4,978.70/x
  3. Step 3: Cross multiply
    5,221.70x = 7,832.55 × 4,978.70
  4. Step 4: Simplify right side
    5,221.70x = 38,995,916.69
  5. Step 5: Solve for x
    x = 38,995,916.69/5,221.70
  6. Step 6: Final answer
    x = 7,468.05

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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.