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Finding the Fourth Proportional to 2,012, 2,777.70 and 1,568.96

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Solution

The fourth proportional to 2,012, 2,777.70 and 1,568.96 is: 2,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012 : 2,777.70 = 1,568.96 : x
  2. Step 2: Convert to fraction form
    2,012/2,777.70 = 1,568.96/x
  3. Step 3: Cross multiply
    2,012x = 2,777.70 × 1,568.96
  4. Step 4: Simplify right side
    2,012x = 4,358,100.19
  5. Step 5: Solve for x
    x = 4,358,100.19/2,012
  6. Step 6: Final answer
    x = 2,166.05

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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.