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Finding the Fourth Proportional to 2,768.00, 3,818.90 and 1,572.87

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Solution

The fourth proportional to 2,768.00, 3,818.90 and 1,572.87 is: 2,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.00 : 3,818.90 = 1,572.87 : x
  2. Step 2: Convert to fraction form
    2,768.00/3,818.90 = 1,572.87/x
  3. Step 3: Cross multiply
    2,768.00x = 3,818.90 × 1,572.87
  4. Step 4: Simplify right side
    2,768.00x = 6,006,621.17
  5. Step 5: Solve for x
    x = 6,006,621.17/2,768.00
  6. Step 6: Final answer
    x = 2,170.02

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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.