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Finding the Fourth Proportional to 8,655.24, 11,945.78 and 8,260.82

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Solution

The fourth proportional to 8,655.24, 11,945.78 and 8,260.82 is: 11,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.24 : 11,945.78 = 8,260.82 : x
  2. Step 2: Convert to fraction form
    8,655.24/11,945.78 = 8,260.82/x
  3. Step 3: Cross multiply
    8,655.24x = 11,945.78 × 8,260.82
  4. Step 4: Simplify right side
    8,655.24x = 98,681,837.31
  5. Step 5: Solve for x
    x = 98,681,837.31/8,655.24
  6. Step 6: Final answer
    x = 11,401.40

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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.