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Finding the Fourth Proportional to 11,311.70, 15,610.03 and 6,275.93

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Solution

The fourth proportional to 11,311.70, 15,610.03 and 6,275.93 is: 8,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.70 : 15,610.03 = 6,275.93 : x
  2. Step 2: Convert to fraction form
    11,311.70/15,610.03 = 6,275.93/x
  3. Step 3: Cross multiply
    11,311.70x = 15,610.03 × 6,275.93
  4. Step 4: Simplify right side
    11,311.70x = 97,967,361.84
  5. Step 5: Solve for x
    x = 97,967,361.84/11,311.70
  6. Step 6: Final answer
    x = 8,660.71

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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.