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Finding the Fourth Proportional to 2,189.40, 3,282.90 and 802.50

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Solution

The fourth proportional to 2,189.40, 3,282.90 and 802.50 is: 1,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.40 : 3,282.90 = 802.50 : x
  2. Step 2: Convert to fraction form
    2,189.40/3,282.90 = 802.50/x
  3. Step 3: Cross multiply
    2,189.40x = 3,282.90 × 802.50
  4. Step 4: Simplify right side
    2,189.40x = 2,634,527.25
  5. Step 5: Solve for x
    x = 2,634,527.25/2,189.40
  6. Step 6: Final answer
    x = 1,203.31

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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.