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Finding the Fourth Proportional to 10,689.77, 16,034.90 and 3,669.72

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Solution

The fourth proportional to 10,689.77, 16,034.90 and 3,669.72 is: 5,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.77 : 16,034.90 = 3,669.72 : x
  2. Step 2: Convert to fraction form
    10,689.77/16,034.90 = 3,669.72/x
  3. Step 3: Cross multiply
    10,689.77x = 16,034.90 × 3,669.72
  4. Step 4: Simplify right side
    10,689.77x = 58,843,593.23
  5. Step 5: Solve for x
    x = 58,843,593.23/10,689.77
  6. Step 6: Final answer
    x = 5,504.66

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1.5x scale

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.