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Finding the Fourth Proportional to 2,118.82, 3,178.53 and 802.22

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Solution

The fourth proportional to 2,118.82, 3,178.53 and 802.22 is: 1,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.82 : 3,178.53 = 802.22 : x
  2. Step 2: Convert to fraction form
    2,118.82/3,178.53 = 802.22/x
  3. Step 3: Cross multiply
    2,118.82x = 3,178.53 × 802.22
  4. Step 4: Simplify right side
    2,118.82x = 2,549,864.44
  5. Step 5: Solve for x
    x = 2,549,864.44/2,118.82
  6. Step 6: Final answer
    x = 1,203.44

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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.