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Finding the Fourth Proportional to 9,277.82, 12,799.65 and 6,447.47

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Solution

The fourth proportional to 9,277.82, 12,799.65 and 6,447.47 is: 8,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.82 : 12,799.65 = 6,447.47 : x
  2. Step 2: Convert to fraction form
    9,277.82/12,799.65 = 6,447.47/x
  3. Step 3: Cross multiply
    9,277.82x = 12,799.65 × 6,447.47
  4. Step 4: Simplify right side
    9,277.82x = 82,525,373.16
  5. Step 5: Solve for x
    x = 82,525,373.16/9,277.82
  6. Step 6: Final answer
    x = 8,894.91

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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.