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Finding the Fourth Proportional to 8,764.31, 12,064.05 and 7,643.27

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Solution

The fourth proportional to 8,764.31, 12,064.05 and 7,643.27 is: 10,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.31 : 12,064.05 = 7,643.27 : x
  2. Step 2: Convert to fraction form
    8,764.31/12,064.05 = 7,643.27/x
  3. Step 3: Cross multiply
    8,764.31x = 12,064.05 × 7,643.27
  4. Step 4: Simplify right side
    8,764.31x = 92,208,731.12
  5. Step 5: Solve for x
    x = 92,208,731.12/8,764.31
  6. Step 6: Final answer
    x = 10,520.94

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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.