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Finding the Fourth Proportional to 15,341, 22,997.76 and 5,478.86

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Solution

The fourth proportional to 15,341, 22,997.76 and 5,478.86 is: 8,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341 : 22,997.76 = 5,478.86 : x
  2. Step 2: Convert to fraction form
    15,341/22,997.76 = 5,478.86/x
  3. Step 3: Cross multiply
    15,341x = 22,997.76 × 5,478.86
  4. Step 4: Simplify right side
    15,341x = 126,001,507.35
  5. Step 5: Solve for x
    x = 126,001,507.35/15,341
  6. Step 6: Final answer
    x = 8,213.38

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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.