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Finding the Fourth Proportional to 5,230.62, 7,847.85 and 4,921.50

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Solution

The fourth proportional to 5,230.62, 7,847.85 and 4,921.50 is: 7,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.62 : 7,847.85 = 4,921.50 : x
  2. Step 2: Convert to fraction form
    5,230.62/7,847.85 = 4,921.50/x
  3. Step 3: Cross multiply
    5,230.62x = 7,847.85 × 4,921.50
  4. Step 4: Simplify right side
    5,230.62x = 38,623,193.78
  5. Step 5: Solve for x
    x = 38,623,193.78/5,230.62
  6. Step 6: Final answer
    x = 7,384.06

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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.