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Finding the Fourth Proportional to 7,866.42, 10,855.77 and 4,329.66

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Solution

The fourth proportional to 7,866.42, 10,855.77 and 4,329.66 is: 5,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.42 : 10,855.77 = 4,329.66 : x
  2. Step 2: Convert to fraction form
    7,866.42/10,855.77 = 4,329.66/x
  3. Step 3: Cross multiply
    7,866.42x = 10,855.77 × 4,329.66
  4. Step 4: Simplify right side
    7,866.42x = 47,001,793.14
  5. Step 5: Solve for x
    x = 47,001,793.14/7,866.42
  6. Step 6: Final answer
    x = 5,974.99

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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.