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Finding the Fourth Proportional to 16,894, 25,344.36 and 5,206.72

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Solution

The fourth proportional to 16,894, 25,344.36 and 5,206.72 is: 7,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894 : 25,344.36 = 5,206.72 : x
  2. Step 2: Convert to fraction form
    16,894/25,344.36 = 5,206.72/x
  3. Step 3: Cross multiply
    16,894x = 25,344.36 × 5,206.72
  4. Step 4: Simplify right side
    16,894x = 131,960,986.10
  5. Step 5: Solve for x
    x = 131,960,986.10/16,894
  6. Step 6: Final answer
    x = 7,811.12

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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.