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Finding the Fourth Proportional to 7,876.62, 10,869.73 and 5,224.54

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Solution

The fourth proportional to 7,876.62, 10,869.73 and 5,224.54 is: 7,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.62 : 10,869.73 = 5,224.54 : x
  2. Step 2: Convert to fraction form
    7,876.62/10,869.73 = 5,224.54/x
  3. Step 3: Cross multiply
    7,876.62x = 10,869.73 × 5,224.54
  4. Step 4: Simplify right side
    7,876.62x = 56,789,326.07
  5. Step 5: Solve for x
    x = 56,789,326.07/7,876.62
  6. Step 6: Final answer
    x = 7,209.86

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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.