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Finding the Fourth Proportional to 7,780.38, 11,713.02 and 7,091.64

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Solution

The fourth proportional to 7,780.38, 11,713.02 and 7,091.64 is: 10,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.38 : 11,713.02 = 7,091.64 : x
  2. Step 2: Convert to fraction form
    7,780.38/11,713.02 = 7,091.64/x
  3. Step 3: Cross multiply
    7,780.38x = 11,713.02 × 7,091.64
  4. Step 4: Simplify right side
    7,780.38x = 83,064,521.15
  5. Step 5: Solve for x
    x = 83,064,521.15/7,780.38
  6. Step 6: Final answer
    x = 10,676.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.