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Finding the Fourth Proportional to 10,471.96, 15,707.90 and 2,680.76

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Solution

The fourth proportional to 10,471.96, 15,707.90 and 2,680.76 is: 4,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.96 : 15,707.90 = 2,680.76 : x
  2. Step 2: Convert to fraction form
    10,471.96/15,707.90 = 2,680.76/x
  3. Step 3: Cross multiply
    10,471.96x = 15,707.90 × 2,680.76
  4. Step 4: Simplify right side
    10,471.96x = 42,109,110.00
  5. Step 5: Solve for x
    x = 42,109,110.00/10,471.96
  6. Step 6: Final answer
    x = 4,021.13

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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.