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Finding the Fourth Proportional to 2,700.42, 4,052.86 and 2,087.86

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Solution

The fourth proportional to 2,700.42, 4,052.86 and 2,087.86 is: 3,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.42 : 4,052.86 = 2,087.86 : x
  2. Step 2: Convert to fraction form
    2,700.42/4,052.86 = 2,087.86/x
  3. Step 3: Cross multiply
    2,700.42x = 4,052.86 × 2,087.86
  4. Step 4: Simplify right side
    2,700.42x = 8,461,804.28
  5. Step 5: Solve for x
    x = 8,461,804.28/2,700.42
  6. Step 6: Final answer
    x = 3,133.51

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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.