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Finding the Fourth Proportional to 18,842.10, 25,998.12 and 10,882.20

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Solution

The fourth proportional to 18,842.10, 25,998.12 and 10,882.20 is: 15,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.10 : 25,998.12 = 10,882.20 : x
  2. Step 2: Convert to fraction form
    18,842.10/25,998.12 = 10,882.20/x
  3. Step 3: Cross multiply
    18,842.10x = 25,998.12 × 10,882.20
  4. Step 4: Simplify right side
    18,842.10x = 282,916,741.46
  5. Step 5: Solve for x
    x = 282,916,741.46/18,842.10
  6. Step 6: Final answer
    x = 15,015.14

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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.