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Finding the Fourth Proportional to 13,626.46, 18,806.20 and 7,658

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Solution

The fourth proportional to 13,626.46, 18,806.20 and 7,658 is: 10,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.46 : 18,806.20 = 7,658 : x
  2. Step 2: Convert to fraction form
    13,626.46/18,806.20 = 7,658/x
  3. Step 3: Cross multiply
    13,626.46x = 18,806.20 × 7,658
  4. Step 4: Simplify right side
    13,626.46x = 144,017,841.31
  5. Step 5: Solve for x
    x = 144,017,841.31/13,626.46
  6. Step 6: Final answer
    x = 10,568.98

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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.