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Finding the Fourth Proportional to 7,186.12, 9,895.87 and 6,331.06

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Solution

The fourth proportional to 7,186.12, 9,895.87 and 6,331.06 is: 8,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.12 : 9,895.87 = 6,331.06 : x
  2. Step 2: Convert to fraction form
    7,186.12/9,895.87 = 6,331.06/x
  3. Step 3: Cross multiply
    7,186.12x = 9,895.87 × 6,331.06
  4. Step 4: Simplify right side
    7,186.12x = 62,651,367.01
  5. Step 5: Solve for x
    x = 62,651,367.01/7,186.12
  6. Step 6: Final answer
    x = 8,718.39

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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.