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Finding the Fourth Proportional to 6,649.70, 9,960.71 and 3,142.67

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Solution

The fourth proportional to 6,649.70, 9,960.71 and 3,142.67 is: 4,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.70 : 9,960.71 = 3,142.67 : x
  2. Step 2: Convert to fraction form
    6,649.70/9,960.71 = 3,142.67/x
  3. Step 3: Cross multiply
    6,649.70x = 9,960.71 × 3,142.67
  4. Step 4: Simplify right side
    6,649.70x = 31,303,158.98
  5. Step 5: Solve for x
    x = 31,303,158.98/6,649.70
  6. Step 6: Final answer
    x = 4,707.46

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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.