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Finding the Fourth Proportional to 15,155.78, 22,723.20 and 7,755.22

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Solution

The fourth proportional to 15,155.78, 22,723.20 and 7,755.22 is: 11,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,155.78 : 22,723.20 = 7,755.22 : x
  2. Step 2: Convert to fraction form
    15,155.78/22,723.20 = 7,755.22/x
  3. Step 3: Cross multiply
    15,155.78x = 22,723.20 × 7,755.22
  4. Step 4: Simplify right side
    15,155.78x = 176,223,415.10
  5. Step 5: Solve for x
    x = 176,223,415.10/15,155.78
  6. Step 6: Final answer
    x = 11,627.47

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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.