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Finding the Fourth Proportional to 7,121.70, 10,690.65 and 4,201.65

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Solution

The fourth proportional to 7,121.70, 10,690.65 and 4,201.65 is: 6,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.70 : 10,690.65 = 4,201.65 : x
  2. Step 2: Convert to fraction form
    7,121.70/10,690.65 = 4,201.65/x
  3. Step 3: Cross multiply
    7,121.70x = 10,690.65 × 4,201.65
  4. Step 4: Simplify right side
    7,121.70x = 44,918,369.57
  5. Step 5: Solve for x
    x = 44,918,369.57/7,121.70
  6. Step 6: Final answer
    x = 6,307.25

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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.