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Finding the Fourth Proportional to 7,138.61, 10,707.92 and 2,980.58

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Solution

The fourth proportional to 7,138.61, 10,707.92 and 2,980.58 is: 4,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.61 : 10,707.92 = 2,980.58 : x
  2. Step 2: Convert to fraction form
    7,138.61/10,707.92 = 2,980.58/x
  3. Step 3: Cross multiply
    7,138.61x = 10,707.92 × 2,980.58
  4. Step 4: Simplify right side
    7,138.61x = 31,915,797.29
  5. Step 5: Solve for x
    x = 31,915,797.29/7,138.61
  6. Step 6: Final answer
    x = 4,470.87

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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.