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Finding the Fourth Proportional to 7,886.09, 11,778.86 and 7,134.45

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Solution

The fourth proportional to 7,886.09, 11,778.86 and 7,134.45 is: 10,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.09 : 11,778.86 = 7,134.45 : x
  2. Step 2: Convert to fraction form
    7,886.09/11,778.86 = 7,134.45/x
  3. Step 3: Cross multiply
    7,886.09x = 11,778.86 × 7,134.45
  4. Step 4: Simplify right side
    7,886.09x = 84,035,687.73
  5. Step 5: Solve for x
    x = 84,035,687.73/7,886.09
  6. Step 6: Final answer
    x = 10,656.19

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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.