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Finding the Fourth Proportional to 3,239.96, 4,470.10 and 1,914.12

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Solution

The fourth proportional to 3,239.96, 4,470.10 and 1,914.12 is: 2,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.96 : 4,470.10 = 1,914.12 : x
  2. Step 2: Convert to fraction form
    3,239.96/4,470.10 = 1,914.12/x
  3. Step 3: Cross multiply
    3,239.96x = 4,470.10 × 1,914.12
  4. Step 4: Simplify right side
    3,239.96x = 8,556,307.81
  5. Step 5: Solve for x
    x = 8,556,307.81/3,239.96
  6. Step 6: Final answer
    x = 2,640.87

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1.5x scale

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.