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Finding the Fourth Proportional to 13,689.64, 18,892.82 and 7,722.55

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Solution

The fourth proportional to 13,689.64, 18,892.82 and 7,722.55 is: 10,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.64 : 18,892.82 = 7,722.55 : x
  2. Step 2: Convert to fraction form
    13,689.64/18,892.82 = 7,722.55/x
  3. Step 3: Cross multiply
    13,689.64x = 18,892.82 × 7,722.55
  4. Step 4: Simplify right side
    13,689.64x = 145,900,747.09
  5. Step 5: Solve for x
    x = 145,900,747.09/13,689.64
  6. Step 6: Final answer
    x = 10,657.75

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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.