Home / 2,117.75-3,176.66-802.12

Finding the Fourth Proportional to 2,117.75, 3,176.66 and 802.12

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Solution

The fourth proportional to 2,117.75, 3,176.66 and 802.12 is: 1,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.75 : 3,176.66 = 802.12 : x
  2. Step 2: Convert to fraction form
    2,117.75/3,176.66 = 802.12/x
  3. Step 3: Cross multiply
    2,117.75x = 3,176.66 × 802.12
  4. Step 4: Simplify right side
    2,117.75x = 2,548,076.24
  5. Step 5: Solve for x
    x = 2,548,076.24/2,117.75
  6. Step 6: Final answer
    x = 1,203.20

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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.