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Finding the Fourth Proportional to 9,187.80, 13,706.67 and 7,891.80

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Solution

The fourth proportional to 9,187.80, 13,706.67 and 7,891.80 is: 11,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.80 : 13,706.67 = 7,891.80 : x
  2. Step 2: Convert to fraction form
    9,187.80/13,706.67 = 7,891.80/x
  3. Step 3: Cross multiply
    9,187.80x = 13,706.67 × 7,891.80
  4. Step 4: Simplify right side
    9,187.80x = 108,170,298.31
  5. Step 5: Solve for x
    x = 108,170,298.31/9,187.80
  6. Step 6: Final answer
    x = 11,773.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.