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Finding the Fourth Proportional to 7,120.65, 10,680.98 and 3,422.01

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Solution

The fourth proportional to 7,120.65, 10,680.98 and 3,422.01 is: 5,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.65 : 10,680.98 = 3,422.01 : x
  2. Step 2: Convert to fraction form
    7,120.65/10,680.98 = 3,422.01/x
  3. Step 3: Cross multiply
    7,120.65x = 10,680.98 × 3,422.01
  4. Step 4: Simplify right side
    7,120.65x = 36,550,403.26
  5. Step 5: Solve for x
    x = 36,550,403.26/7,120.65
  6. Step 6: Final answer
    x = 5,133.02

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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.