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Finding the Fourth Proportional to 3,203.52, 4,803.57 and 1,642.89

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Solution

The fourth proportional to 3,203.52, 4,803.57 and 1,642.89 is: 2,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.52 : 4,803.57 = 1,642.89 : x
  2. Step 2: Convert to fraction form
    3,203.52/4,803.57 = 1,642.89/x
  3. Step 3: Cross multiply
    3,203.52x = 4,803.57 × 1,642.89
  4. Step 4: Simplify right side
    3,203.52x = 7,891,753.23
  5. Step 5: Solve for x
    x = 7,891,753.23/3,203.52
  6. Step 6: Final answer
    x = 2,463.46

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1.5x scale

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.