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Finding the Fourth Proportional to 7,781.46, 11,657.82 and 6,020.22

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Solution

The fourth proportional to 7,781.46, 11,657.82 and 6,020.22 is: 9,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.46 : 11,657.82 = 6,020.22 : x
  2. Step 2: Convert to fraction form
    7,781.46/11,657.82 = 6,020.22/x
  3. Step 3: Cross multiply
    7,781.46x = 11,657.82 × 6,020.22
  4. Step 4: Simplify right side
    7,781.46x = 70,182,641.12
  5. Step 5: Solve for x
    x = 70,182,641.12/7,781.46
  6. Step 6: Final answer
    x = 9,019.21

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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.