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Finding the Fourth Proportional to 4,778, 7,166.96 and 4,162.13

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Solution

The fourth proportional to 4,778, 7,166.96 and 4,162.13 is: 6,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 7,166.96 = 4,162.13 : x
  2. Step 2: Convert to fraction form
    4,778/7,166.96 = 4,162.13/x
  3. Step 3: Cross multiply
    4,778x = 7,166.96 × 4,162.13
  4. Step 4: Simplify right side
    4,778x = 29,829,819.22
  5. Step 5: Solve for x
    x = 29,829,819.22/4,778
  6. Step 6: Final answer
    x = 6,243.16

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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.