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Finding the Fourth Proportional to 2,606.78, 3,905.01 and 1,616.46

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Solution

The fourth proportional to 2,606.78, 3,905.01 and 1,616.46 is: 2,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.78 : 3,905.01 = 1,616.46 : x
  2. Step 2: Convert to fraction form
    2,606.78/3,905.01 = 1,616.46/x
  3. Step 3: Cross multiply
    2,606.78x = 3,905.01 × 1,616.46
  4. Step 4: Simplify right side
    2,606.78x = 6,312,277.82
  5. Step 5: Solve for x
    x = 6,312,277.82/2,606.78
  6. Step 6: Final answer
    x = 2,421.48

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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.