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Finding the Fourth Proportional to 2,189.92, 3,284.08 and 802.80

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Solution

The fourth proportional to 2,189.92, 3,284.08 and 802.80 is: 1,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.92 : 3,284.08 = 802.80 : x
  2. Step 2: Convert to fraction form
    2,189.92/3,284.08 = 802.80/x
  3. Step 3: Cross multiply
    2,189.92x = 3,284.08 × 802.80
  4. Step 4: Simplify right side
    2,189.92x = 2,636,459.42
  5. Step 5: Solve for x
    x = 2,636,459.42/2,189.92
  6. Step 6: Final answer
    x = 1,203.91

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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.