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Finding the Fourth Proportional to 22,248, 30,701.79 and 13,297.50

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Solution

The fourth proportional to 22,248, 30,701.79 and 13,297.50 is: 18,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,248 : 30,701.79 = 13,297.50 : x
  2. Step 2: Convert to fraction form
    22,248/30,701.79 = 13,297.50/x
  3. Step 3: Cross multiply
    22,248x = 30,701.79 × 13,297.50
  4. Step 4: Simplify right side
    22,248x = 408,257,052.53
  5. Step 5: Solve for x
    x = 408,257,052.53/22,248
  6. Step 6: Final answer
    x = 18,350.28

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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.