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Finding the Fourth Proportional to 2,200.71, 3,036.38 and 1,316.19

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Solution

The fourth proportional to 2,200.71, 3,036.38 and 1,316.19 is: 1,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.71 : 3,036.38 = 1,316.19 : x
  2. Step 2: Convert to fraction form
    2,200.71/3,036.38 = 1,316.19/x
  3. Step 3: Cross multiply
    2,200.71x = 3,036.38 × 1,316.19
  4. Step 4: Simplify right side
    2,200.71x = 3,996,446.41
  5. Step 5: Solve for x
    x = 3,996,446.41/2,200.71
  6. Step 6: Final answer
    x = 1,815.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.