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Finding the Fourth Proportional to 4,855, 6,699.78 and 2,758.84

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Solution

The fourth proportional to 4,855, 6,699.78 and 2,758.84 is: 3,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855 : 6,699.78 = 2,758.84 : x
  2. Step 2: Convert to fraction form
    4,855/6,699.78 = 2,758.84/x
  3. Step 3: Cross multiply
    4,855x = 6,699.78 × 2,758.84
  4. Step 4: Simplify right side
    4,855x = 18,483,621.06
  5. Step 5: Solve for x
    x = 18,483,621.06/4,855
  6. Step 6: Final answer
    x = 3,807.13

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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.