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Finding the Fourth Proportional to 7,921.87, 11,878.71 and 4,223.11

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Solution

The fourth proportional to 7,921.87, 11,878.71 and 4,223.11 is: 6,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.87 : 11,878.71 = 4,223.11 : x
  2. Step 2: Convert to fraction form
    7,921.87/11,878.71 = 4,223.11/x
  3. Step 3: Cross multiply
    7,921.87x = 11,878.71 × 4,223.11
  4. Step 4: Simplify right side
    7,921.87x = 50,165,053.45
  5. Step 5: Solve for x
    x = 50,165,053.45/7,921.87
  6. Step 6: Final answer
    x = 6,332.48

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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.