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Finding the Fourth Proportional to 2,616.01, 3,610.07 and 1,420.97

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Solution

The fourth proportional to 2,616.01, 3,610.07 and 1,420.97 is: 1,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.01 : 3,610.07 = 1,420.97 : x
  2. Step 2: Convert to fraction form
    2,616.01/3,610.07 = 1,420.97/x
  3. Step 3: Cross multiply
    2,616.01x = 3,610.07 × 1,420.97
  4. Step 4: Simplify right side
    2,616.01x = 5,129,801.17
  5. Step 5: Solve for x
    x = 5,129,801.17/2,616.01
  6. Step 6: Final answer
    x = 1,960.93

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1.5x scale

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.