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Finding the Fourth Proportional to 6,339.60, 8,748 and 3,506.94

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Solution

The fourth proportional to 6,339.60, 8,748 and 3,506.94 is: 4,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.60 : 8,748 = 3,506.94 : x
  2. Step 2: Convert to fraction form
    6,339.60/8,748 = 3,506.94/x
  3. Step 3: Cross multiply
    6,339.60x = 8,748 × 3,506.94
  4. Step 4: Simplify right side
    6,339.60x = 30,678,711.12
  5. Step 5: Solve for x
    x = 30,678,711.12/6,339.60
  6. Step 6: Final answer
    x = 4,839.22

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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.