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Finding the Fourth Proportional to 8,509.41, 12,764.57 and 2,666.48

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Solution

The fourth proportional to 8,509.41, 12,764.57 and 2,666.48 is: 3,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.41 : 12,764.57 = 2,666.48 : x
  2. Step 2: Convert to fraction form
    8,509.41/12,764.57 = 2,666.48/x
  3. Step 3: Cross multiply
    8,509.41x = 12,764.57 × 2,666.48
  4. Step 4: Simplify right side
    8,509.41x = 34,036,393.46
  5. Step 5: Solve for x
    x = 34,036,393.46/8,509.41
  6. Step 6: Final answer
    x = 3,999.85

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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.