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Finding the Fourth Proportional to 9,987.69, 13,777.25 and 7,295.46

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Solution

The fourth proportional to 9,987.69, 13,777.25 and 7,295.46 is: 10,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.69 : 13,777.25 = 7,295.46 : x
  2. Step 2: Convert to fraction form
    9,987.69/13,777.25 = 7,295.46/x
  3. Step 3: Cross multiply
    9,987.69x = 13,777.25 × 7,295.46
  4. Step 4: Simplify right side
    9,987.69x = 100,511,376.29
  5. Step 5: Solve for x
    x = 100,511,376.29/9,987.69
  6. Step 6: Final answer
    x = 10,063.53

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Similar ratio
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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.