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Finding the Fourth Proportional to 16,431, 24,613.92 and 7,653.84

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Solution

The fourth proportional to 16,431, 24,613.92 and 7,653.84 is: 11,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431 : 24,613.92 = 7,653.84 : x
  2. Step 2: Convert to fraction form
    16,431/24,613.92 = 7,653.84/x
  3. Step 3: Cross multiply
    16,431x = 24,613.92 × 7,653.84
  4. Step 4: Simplify right side
    16,431x = 188,391,005.45
  5. Step 5: Solve for x
    x = 188,391,005.45/16,431
  6. Step 6: Final answer
    x = 11,465.58

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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.