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Finding the Fourth Proportional to 3,203.47, 4,806.51 and 1,642.69

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Solution

The fourth proportional to 3,203.47, 4,806.51 and 1,642.69 is: 2,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.47 : 4,806.51 = 1,642.69 : x
  2. Step 2: Convert to fraction form
    3,203.47/4,806.51 = 1,642.69/x
  3. Step 3: Cross multiply
    3,203.47x = 4,806.51 × 1,642.69
  4. Step 4: Simplify right side
    3,203.47x = 7,895,605.91
  5. Step 5: Solve for x
    x = 7,895,605.91/3,203.47
  6. Step 6: Final answer
    x = 2,464.70

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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.