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Finding the Fourth Proportional to 2,118.58, 3,176.64 and 802.43

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Solution

The fourth proportional to 2,118.58, 3,176.64 and 802.43 is: 1,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.58 : 3,176.64 = 802.43 : x
  2. Step 2: Convert to fraction form
    2,118.58/3,176.64 = 802.43/x
  3. Step 3: Cross multiply
    2,118.58x = 3,176.64 × 802.43
  4. Step 4: Simplify right side
    2,118.58x = 2,549,035.16
  5. Step 5: Solve for x
    x = 2,549,035.16/2,118.58
  6. Step 6: Final answer
    x = 1,203.18

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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.