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Finding the Fourth Proportional to 5,230.96, 7,234.74 and 5,143.48

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Solution

The fourth proportional to 5,230.96, 7,234.74 and 5,143.48 is: 7,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.96 : 7,234.74 = 5,143.48 : x
  2. Step 2: Convert to fraction form
    5,230.96/7,234.74 = 5,143.48/x
  3. Step 3: Cross multiply
    5,230.96x = 7,234.74 × 5,143.48
  4. Step 4: Simplify right side
    5,230.96x = 37,211,740.50
  5. Step 5: Solve for x
    x = 37,211,740.50/5,230.96
  6. Step 6: Final answer
    x = 7,113.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.