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Finding the Fourth Proportional to 15,112.17, 20,842.83 and 10,862.10

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Solution

The fourth proportional to 15,112.17, 20,842.83 and 10,862.10 is: 14,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.17 : 20,842.83 = 10,862.10 : x
  2. Step 2: Convert to fraction form
    15,112.17/20,842.83 = 10,862.10/x
  3. Step 3: Cross multiply
    15,112.17x = 20,842.83 × 10,862.10
  4. Step 4: Simplify right side
    15,112.17x = 226,396,903.74
  5. Step 5: Solve for x
    x = 226,396,903.74/15,112.17
  6. Step 6: Final answer
    x = 14,981.10

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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.