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Finding the Fourth Proportional to 4,778, 7,169.88 and 2,042

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Solution

The fourth proportional to 4,778, 7,169.88 and 2,042 is: 3,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 7,169.88 = 2,042 : x
  2. Step 2: Convert to fraction form
    4,778/7,169.88 = 2,042/x
  3. Step 3: Cross multiply
    4,778x = 7,169.88 × 2,042
  4. Step 4: Simplify right side
    4,778x = 14,640,894.96
  5. Step 5: Solve for x
    x = 14,640,894.96/4,778
  6. Step 6: Final answer
    x = 3,064.23

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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.