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Finding the Fourth Proportional to 13,686.38, 18,880.53 and 8,648.18

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Solution

The fourth proportional to 13,686.38, 18,880.53 and 8,648.18 is: 11,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.38 : 18,880.53 = 8,648.18 : x
  2. Step 2: Convert to fraction form
    13,686.38/18,880.53 = 8,648.18/x
  3. Step 3: Cross multiply
    13,686.38x = 18,880.53 × 8,648.18
  4. Step 4: Simplify right side
    13,686.38x = 163,282,221.94
  5. Step 5: Solve for x
    x = 163,282,221.94/13,686.38
  6. Step 6: Final answer
    x = 11,930.27

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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.