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Finding the Fourth Proportional to 6,010, 8,311.08 and 5,734.96

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Solution

The fourth proportional to 6,010, 8,311.08 and 5,734.96 is: 7,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010 : 8,311.08 = 5,734.96 : x
  2. Step 2: Convert to fraction form
    6,010/8,311.08 = 5,734.96/x
  3. Step 3: Cross multiply
    6,010x = 8,311.08 × 5,734.96
  4. Step 4: Simplify right side
    6,010x = 47,663,711.36
  5. Step 5: Solve for x
    x = 47,663,711.36/6,010
  6. Step 6: Final answer
    x = 7,930.73

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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.