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Finding the Fourth Proportional to 8,764.47, 13,116.47 and 8,045.19

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Solution

The fourth proportional to 8,764.47, 13,116.47 and 8,045.19 is: 12,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.47 : 13,116.47 = 8,045.19 : x
  2. Step 2: Convert to fraction form
    8,764.47/13,116.47 = 8,045.19/x
  3. Step 3: Cross multiply
    8,764.47x = 13,116.47 × 8,045.19
  4. Step 4: Simplify right side
    8,764.47x = 105,524,453.05
  5. Step 5: Solve for x
    x = 105,524,453.05/8,764.47
  6. Step 6: Final answer
    x = 12,040.03

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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.