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Finding the Fourth Proportional to 16,778, 23,154.36 and 9,326

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Solution

The fourth proportional to 16,778, 23,154.36 and 9,326 is: 12,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778 : 23,154.36 = 9,326 : x
  2. Step 2: Convert to fraction form
    16,778/23,154.36 = 9,326/x
  3. Step 3: Cross multiply
    16,778x = 23,154.36 × 9,326
  4. Step 4: Simplify right side
    16,778x = 215,937,561.36
  5. Step 5: Solve for x
    x = 215,937,561.36/16,778
  6. Step 6: Final answer
    x = 12,870.28

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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.