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Finding the Fourth Proportional to 4,778, 7,165.16 and 1,855.92

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Solution

The fourth proportional to 4,778, 7,165.16 and 1,855.92 is: 2,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 7,165.16 = 1,855.92 : x
  2. Step 2: Convert to fraction form
    4,778/7,165.16 = 1,855.92/x
  3. Step 3: Cross multiply
    4,778x = 7,165.16 × 1,855.92
  4. Step 4: Simplify right side
    4,778x = 13,297,963.75
  5. Step 5: Solve for x
    x = 13,297,963.75/4,778
  6. Step 6: Final answer
    x = 2,783.17

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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.