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Finding the Fourth Proportional to 7,847.66, 11,776.35 and 7,040.90

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Solution

The fourth proportional to 7,847.66, 11,776.35 and 7,040.90 is: 10,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.66 : 11,776.35 = 7,040.90 : x
  2. Step 2: Convert to fraction form
    7,847.66/11,776.35 = 7,040.90/x
  3. Step 3: Cross multiply
    7,847.66x = 11,776.35 × 7,040.90
  4. Step 4: Simplify right side
    7,847.66x = 82,916,102.72
  5. Step 5: Solve for x
    x = 82,916,102.72/7,847.66
  6. Step 6: Final answer
    x = 10,565.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.