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Finding the Fourth Proportional to 7,866, 10,854.81 and 4,329

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Solution

The fourth proportional to 7,866, 10,854.81 and 4,329 is: 5,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866 : 10,854.81 = 4,329 : x
  2. Step 2: Convert to fraction form
    7,866/10,854.81 = 4,329/x
  3. Step 3: Cross multiply
    7,866x = 10,854.81 × 4,329
  4. Step 4: Simplify right side
    7,866x = 46,990,472.49
  5. Step 5: Solve for x
    x = 46,990,472.49/7,866
  6. Step 6: Final answer
    x = 5,973.87

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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.