Home / 2,118.70-3,176.16-802.20

Finding the Fourth Proportional to 2,118.70, 3,176.16 and 802.20

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Solution

The fourth proportional to 2,118.70, 3,176.16 and 802.20 is: 1,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.70 : 3,176.16 = 802.20 : x
  2. Step 2: Convert to fraction form
    2,118.70/3,176.16 = 802.20/x
  3. Step 3: Cross multiply
    2,118.70x = 3,176.16 × 802.20
  4. Step 4: Simplify right side
    2,118.70x = 2,547,924.45
  5. Step 5: Solve for x
    x = 2,547,924.45/2,118.70
  6. Step 6: Final answer
    x = 1,202.59

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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.