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Finding the Fourth Proportional to 6,491.61, 9,740.10 and 3,112.70

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Solution

The fourth proportional to 6,491.61, 9,740.10 and 3,112.70 is: 4,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.61 : 9,740.10 = 3,112.70 : x
  2. Step 2: Convert to fraction form
    6,491.61/9,740.10 = 3,112.70/x
  3. Step 3: Cross multiply
    6,491.61x = 9,740.10 × 3,112.70
  4. Step 4: Simplify right side
    6,491.61x = 30,317,960.57
  5. Step 5: Solve for x
    x = 30,317,960.57/6,491.61
  6. Step 6: Final answer
    x = 4,670.33

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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.