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Finding the Fourth Proportional to 16,065, 22,170.51 and 9,777.78

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Solution

The fourth proportional to 16,065, 22,170.51 and 9,777.78 is: 13,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065 : 22,170.51 = 9,777.78 : x
  2. Step 2: Convert to fraction form
    16,065/22,170.51 = 9,777.78/x
  3. Step 3: Cross multiply
    16,065x = 22,170.51 × 9,777.78
  4. Step 4: Simplify right side
    16,065x = 216,778,369.27
  5. Step 5: Solve for x
    x = 216,778,369.27/16,065
  6. Step 6: Final answer
    x = 13,493.83

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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.