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Finding the Fourth Proportional to 10,766.76, 16,143.06 and 5,209.08

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Solution

The fourth proportional to 10,766.76, 16,143.06 and 5,209.08 is: 7,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.76 : 16,143.06 = 5,209.08 : x
  2. Step 2: Convert to fraction form
    10,766.76/16,143.06 = 5,209.08/x
  3. Step 3: Cross multiply
    10,766.76x = 16,143.06 × 5,209.08
  4. Step 4: Simplify right side
    10,766.76x = 84,090,490.98
  5. Step 5: Solve for x
    x = 84,090,490.98/10,766.76
  6. Step 6: Final answer
    x = 7,810.19

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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.