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Finding the Fourth Proportional to 4,904.78, 7,358.09 and 1,618.11

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Solution

The fourth proportional to 4,904.78, 7,358.09 and 1,618.11 is: 2,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.78 : 7,358.09 = 1,618.11 : x
  2. Step 2: Convert to fraction form
    4,904.78/7,358.09 = 1,618.11/x
  3. Step 3: Cross multiply
    4,904.78x = 7,358.09 × 1,618.11
  4. Step 4: Simplify right side
    4,904.78x = 11,906,199.01
  5. Step 5: Solve for x
    x = 11,906,199.01/4,904.78
  6. Step 6: Final answer
    x = 2,427.47

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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.