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Finding the Fourth Proportional to 5,672.38, 7,828.14 and 3,154.47

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Solution

The fourth proportional to 5,672.38, 7,828.14 and 3,154.47 is: 4,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.38 : 7,828.14 = 3,154.47 : x
  2. Step 2: Convert to fraction form
    5,672.38/7,828.14 = 3,154.47/x
  3. Step 3: Cross multiply
    5,672.38x = 7,828.14 × 3,154.47
  4. Step 4: Simplify right side
    5,672.38x = 24,693,632.79
  5. Step 5: Solve for x
    x = 24,693,632.79/5,672.38
  6. Step 6: Final answer
    x = 4,353.31

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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.