Home / 2,342.16-3,511.68-802.80

Finding the Fourth Proportional to 2,342.16, 3,511.68 and 802.80

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Solution

The fourth proportional to 2,342.16, 3,511.68 and 802.80 is: 1,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,511.68 = 802.80 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,511.68 = 802.80/x
  3. Step 3: Cross multiply
    2,342.16x = 3,511.68 × 802.80
  4. Step 4: Simplify right side
    2,342.16x = 2,819,176.70
  5. Step 5: Solve for x
    x = 2,819,176.70/2,342.16
  6. Step 6: Final answer
    x = 1,203.67

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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.