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Finding the Fourth Proportional to 2,316.80, 3,479.40 and 2,213

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Solution

The fourth proportional to 2,316.80, 3,479.40 and 2,213 is: 3,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.80 : 3,479.40 = 2,213 : x
  2. Step 2: Convert to fraction form
    2,316.80/3,479.40 = 2,213/x
  3. Step 3: Cross multiply
    2,316.80x = 3,479.40 × 2,213
  4. Step 4: Simplify right side
    2,316.80x = 7,699,912.20
  5. Step 5: Solve for x
    x = 7,699,912.20/2,316.80
  6. Step 6: Final answer
    x = 3,323.51

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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.