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Finding the Fourth Proportional to 7,254.10, 10,020.09 and 6,000.22

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Solution

The fourth proportional to 7,254.10, 10,020.09 and 6,000.22 is: 8,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.10 : 10,020.09 = 6,000.22 : x
  2. Step 2: Convert to fraction form
    7,254.10/10,020.09 = 6,000.22/x
  3. Step 3: Cross multiply
    7,254.10x = 10,020.09 × 6,000.22
  4. Step 4: Simplify right side
    7,254.10x = 60,122,744.42
  5. Step 5: Solve for x
    x = 60,122,744.42/7,254.10
  6. Step 6: Final answer
    x = 8,288.11

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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.