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Finding the Fourth Proportional to 7,138.11, 10,707.17 and 2,980.08

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Solution

The fourth proportional to 7,138.11, 10,707.17 and 2,980.08 is: 4,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.11 : 10,707.17 = 2,980.08 : x
  2. Step 2: Convert to fraction form
    7,138.11/10,707.17 = 2,980.08/x
  3. Step 3: Cross multiply
    7,138.11x = 10,707.17 × 2,980.08
  4. Step 4: Simplify right side
    7,138.11x = 31,908,208.27
  5. Step 5: Solve for x
    x = 31,908,208.27/7,138.11
  6. Step 6: Final answer
    x = 4,470.12

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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.