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Finding the Fourth Proportional to 22,679.68, 31,297.84 and 12,743.68

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Solution

The fourth proportional to 22,679.68, 31,297.84 and 12,743.68 is: 17,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679.68 : 31,297.84 = 12,743.68 : x
  2. Step 2: Convert to fraction form
    22,679.68/31,297.84 = 12,743.68/x
  3. Step 3: Cross multiply
    22,679.68x = 31,297.84 × 12,743.68
  4. Step 4: Simplify right side
    22,679.68x = 398,849,657.65
  5. Step 5: Solve for x
    x = 398,849,657.65/22,679.68
  6. Step 6: Final answer
    x = 17,586.21

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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.