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Finding the Fourth Proportional to 15,138.28, 20,888.42 and 8,513

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Solution

The fourth proportional to 15,138.28, 20,888.42 and 8,513 is: 11,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.28 : 20,888.42 = 8,513 : x
  2. Step 2: Convert to fraction form
    15,138.28/20,888.42 = 8,513/x
  3. Step 3: Cross multiply
    15,138.28x = 20,888.42 × 8,513
  4. Step 4: Simplify right side
    15,138.28x = 177,823,119.46
  5. Step 5: Solve for x
    x = 177,823,119.46/15,138.28
  6. Step 6: Final answer
    x = 11,746.59

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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.