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Finding the Fourth Proportional to 7,876.62, 10,869.74 and 4,291.56

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Solution

The fourth proportional to 7,876.62, 10,869.74 and 4,291.56 is: 5,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.62 : 10,869.74 = 4,291.56 : x
  2. Step 2: Convert to fraction form
    7,876.62/10,869.74 = 4,291.56/x
  3. Step 3: Cross multiply
    7,876.62x = 10,869.74 × 4,291.56
  4. Step 4: Simplify right side
    7,876.62x = 46,648,141.39
  5. Step 5: Solve for x
    x = 46,648,141.39/7,876.62
  6. Step 6: Final answer
    x = 5,922.36

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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.