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Finding the Fourth Proportional to 10,778, 16,167.94 and 2,986.88

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Solution

The fourth proportional to 10,778, 16,167.94 and 2,986.88 is: 4,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778 : 16,167.94 = 2,986.88 : x
  2. Step 2: Convert to fraction form
    10,778/16,167.94 = 2,986.88/x
  3. Step 3: Cross multiply
    10,778x = 16,167.94 × 2,986.88
  4. Step 4: Simplify right side
    10,778x = 48,291,696.63
  5. Step 5: Solve for x
    x = 48,291,696.63/10,778
  6. Step 6: Final answer
    x = 4,480.58

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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.