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Finding the Fourth Proportional to 7,151.63, 9,868.78 and 4,007.21

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Solution

The fourth proportional to 7,151.63, 9,868.78 and 4,007.21 is: 5,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.63 : 9,868.78 = 4,007.21 : x
  2. Step 2: Convert to fraction form
    7,151.63/9,868.78 = 4,007.21/x
  3. Step 3: Cross multiply
    7,151.63x = 9,868.78 × 4,007.21
  4. Step 4: Simplify right side
    7,151.63x = 39,546,273.90
  5. Step 5: Solve for x
    x = 39,546,273.90/7,151.63
  6. Step 6: Final answer
    x = 5,529.69

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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.