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Finding the Fourth Proportional to 12,218, 16,854.12 and 8,686.48

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Solution

The fourth proportional to 12,218, 16,854.12 and 8,686.48 is: 11,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 16,854.12 = 8,686.48 : x
  2. Step 2: Convert to fraction form
    12,218/16,854.12 = 8,686.48/x
  3. Step 3: Cross multiply
    12,218x = 16,854.12 × 8,686.48
  4. Step 4: Simplify right side
    12,218x = 146,402,976.30
  5. Step 5: Solve for x
    x = 146,402,976.30/12,218
  6. Step 6: Final answer
    x = 11,982.56

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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.