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Finding the Fourth Proportional to 12,242.55, 16,894.55 and 6,864.96

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Solution

The fourth proportional to 12,242.55, 16,894.55 and 6,864.96 is: 9,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.55 : 16,894.55 = 6,864.96 : x
  2. Step 2: Convert to fraction form
    12,242.55/16,894.55 = 6,864.96/x
  3. Step 3: Cross multiply
    12,242.55x = 16,894.55 × 6,864.96
  4. Step 4: Simplify right side
    12,242.55x = 115,980,375.64
  5. Step 5: Solve for x
    x = 115,980,375.64/12,242.55
  6. Step 6: Final answer
    x = 9,473.55

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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.