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Finding the Fourth Proportional to 6,341.75, 9,512.67 and 1,959.20

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Solution

The fourth proportional to 6,341.75, 9,512.67 and 1,959.20 is: 2,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.75 : 9,512.67 = 1,959.20 : x
  2. Step 2: Convert to fraction form
    6,341.75/9,512.67 = 1,959.20/x
  3. Step 3: Cross multiply
    6,341.75x = 9,512.67 × 1,959.20
  4. Step 4: Simplify right side
    6,341.75x = 18,637,223.06
  5. Step 5: Solve for x
    x = 18,637,223.06/6,341.75
  6. Step 6: Final answer
    x = 2,938.81

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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.