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Finding the Fourth Proportional to 22,685.76, 31,284 and 14,299.20

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Solution

The fourth proportional to 22,685.76, 31,284 and 14,299.20 is: 19,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.76 : 31,284 = 14,299.20 : x
  2. Step 2: Convert to fraction form
    22,685.76/31,284 = 14,299.20/x
  3. Step 3: Cross multiply
    22,685.76x = 31,284 × 14,299.20
  4. Step 4: Simplify right side
    22,685.76x = 447,336,172.80
  5. Step 5: Solve for x
    x = 447,336,172.80/22,685.76
  6. Step 6: Final answer
    x = 19,718.81

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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.