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Finding the Fourth Proportional to 8,663.22, 11,947.23 and 6,501.11

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Solution

The fourth proportional to 8,663.22, 11,947.23 and 6,501.11 is: 8,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.22 : 11,947.23 = 6,501.11 : x
  2. Step 2: Convert to fraction form
    8,663.22/11,947.23 = 6,501.11/x
  3. Step 3: Cross multiply
    8,663.22x = 11,947.23 × 6,501.11
  4. Step 4: Simplify right side
    8,663.22x = 77,670,196.69
  5. Step 5: Solve for x
    x = 77,670,196.69/8,663.22
  6. Step 6: Final answer
    x = 8,965.51

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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.