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Finding the Fourth Proportional to 7,122.96, 9,828.99 and 4,138.92

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Solution

The fourth proportional to 7,122.96, 9,828.99 and 4,138.92 is: 5,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.96 : 9,828.99 = 4,138.92 : x
  2. Step 2: Convert to fraction form
    7,122.96/9,828.99 = 4,138.92/x
  3. Step 3: Cross multiply
    7,122.96x = 9,828.99 × 4,138.92
  4. Step 4: Simplify right side
    7,122.96x = 40,681,403.29
  5. Step 5: Solve for x
    x = 40,681,403.29/7,122.96
  6. Step 6: Final answer
    x = 5,711.31

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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.