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Finding the Fourth Proportional to 3,201.72, 4,802.17 and 1,009.86

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Solution

The fourth proportional to 3,201.72, 4,802.17 and 1,009.86 is: 1,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.72 : 4,802.17 = 1,009.86 : x
  2. Step 2: Convert to fraction form
    3,201.72/4,802.17 = 1,009.86/x
  3. Step 3: Cross multiply
    3,201.72x = 4,802.17 × 1,009.86
  4. Step 4: Simplify right side
    3,201.72x = 4,849,519.40
  5. Step 5: Solve for x
    x = 4,849,519.40/3,201.72
  6. Step 6: Final answer
    x = 1,514.66

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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.