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Finding the Fourth Proportional to 2,087.14, 3,130.36 and 700.32

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Solution

The fourth proportional to 2,087.14, 3,130.36 and 700.32 is: 1,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.14 : 3,130.36 = 700.32 : x
  2. Step 2: Convert to fraction form
    2,087.14/3,130.36 = 700.32/x
  3. Step 3: Cross multiply
    2,087.14x = 3,130.36 × 700.32
  4. Step 4: Simplify right side
    2,087.14x = 2,192,253.72
  5. Step 5: Solve for x
    x = 2,192,253.72/2,087.14
  6. Step 6: Final answer
    x = 1,050.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.