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Finding the Fourth Proportional to 3,432.46, 5,148.70 and 835.38

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Solution

The fourth proportional to 3,432.46, 5,148.70 and 835.38 is: 1,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.46 : 5,148.70 = 835.38 : x
  2. Step 2: Convert to fraction form
    3,432.46/5,148.70 = 835.38/x
  3. Step 3: Cross multiply
    3,432.46x = 5,148.70 × 835.38
  4. Step 4: Simplify right side
    3,432.46x = 4,301,121.01
  5. Step 5: Solve for x
    x = 4,301,121.01/3,432.46
  6. Step 6: Final answer
    x = 1,253.07

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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.