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Finding the Fourth Proportional to 10,181.71, 15,268.89 and 7,994.71

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Solution

The fourth proportional to 10,181.71, 15,268.89 and 7,994.71 is: 11,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.71 : 15,268.89 = 7,994.71 : x
  2. Step 2: Convert to fraction form
    10,181.71/15,268.89 = 7,994.71/x
  3. Step 3: Cross multiply
    10,181.71x = 15,268.89 × 7,994.71
  4. Step 4: Simplify right side
    10,181.71x = 122,070,347.57
  5. Step 5: Solve for x
    x = 122,070,347.57/10,181.71
  6. Step 6: Final answer
    x = 11,989.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.