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Finding the Fourth Proportional to 2,188.90, 3,283.92 and 803.02

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Solution

The fourth proportional to 2,188.90, 3,283.92 and 803.02 is: 1,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 3,283.92 = 803.02 : x
  2. Step 2: Convert to fraction form
    2,188.90/3,283.92 = 803.02/x
  3. Step 3: Cross multiply
    2,188.90x = 3,283.92 × 803.02
  4. Step 4: Simplify right side
    2,188.90x = 2,637,053.44
  5. Step 5: Solve for x
    x = 2,637,053.44/2,188.90
  6. Step 6: Final answer
    x = 1,204.74

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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.