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Finding the Fourth Proportional to 7,717.74, 11,570.13 and 3,098.22

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Solution

The fourth proportional to 7,717.74, 11,570.13 and 3,098.22 is: 4,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.74 : 11,570.13 = 3,098.22 : x
  2. Step 2: Convert to fraction form
    7,717.74/11,570.13 = 3,098.22/x
  3. Step 3: Cross multiply
    7,717.74x = 11,570.13 × 3,098.22
  4. Step 4: Simplify right side
    7,717.74x = 35,846,808.17
  5. Step 5: Solve for x
    x = 35,846,808.17/7,717.74
  6. Step 6: Final answer
    x = 4,644.73

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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.