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Finding the Fourth Proportional to 8,002.75, 11,043.89 and 4,645.70

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Solution

The fourth proportional to 8,002.75, 11,043.89 and 4,645.70 is: 6,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.75 : 11,043.89 = 4,645.70 : x
  2. Step 2: Convert to fraction form
    8,002.75/11,043.89 = 4,645.70/x
  3. Step 3: Cross multiply
    8,002.75x = 11,043.89 × 4,645.70
  4. Step 4: Simplify right side
    8,002.75x = 51,306,668.41
  5. Step 5: Solve for x
    x = 51,306,668.41/8,002.75
  6. Step 6: Final answer
    x = 6,411.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.