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Finding the Fourth Proportional to 2,652.16, 3,658.47 and 2,201.47

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Solution

The fourth proportional to 2,652.16, 3,658.47 and 2,201.47 is: 3,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.16 : 3,658.47 = 2,201.47 : x
  2. Step 2: Convert to fraction form
    2,652.16/3,658.47 = 2,201.47/x
  3. Step 3: Cross multiply
    2,652.16x = 3,658.47 × 2,201.47
  4. Step 4: Simplify right side
    2,652.16x = 8,054,011.95
  5. Step 5: Solve for x
    x = 8,054,011.95/2,652.16
  6. Step 6: Final answer
    x = 3,036.77

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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.