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Finding the Fourth Proportional to 6,501.49, 9,750.49 and 3,213.70

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Solution

The fourth proportional to 6,501.49, 9,750.49 and 3,213.70 is: 4,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.49 : 9,750.49 = 3,213.70 : x
  2. Step 2: Convert to fraction form
    6,501.49/9,750.49 = 3,213.70/x
  3. Step 3: Cross multiply
    6,501.49x = 9,750.49 × 3,213.70
  4. Step 4: Simplify right side
    6,501.49x = 31,335,149.71
  5. Step 5: Solve for x
    x = 31,335,149.71/6,501.49
  6. Step 6: Final answer
    x = 4,819.69

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1.5x scale

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.