Home / 3,267.24-4,900.78-802.05

Finding the Fourth Proportional to 3,267.24, 4,900.78 and 802.05

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Solution

The fourth proportional to 3,267.24, 4,900.78 and 802.05 is: 1,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.24 : 4,900.78 = 802.05 : x
  2. Step 2: Convert to fraction form
    3,267.24/4,900.78 = 802.05/x
  3. Step 3: Cross multiply
    3,267.24x = 4,900.78 × 802.05
  4. Step 4: Simplify right side
    3,267.24x = 3,930,678.53
  5. Step 5: Solve for x
    x = 3,930,678.53/3,267.24
  6. Step 6: Final answer
    x = 1,203.06

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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.