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Finding the Fourth Proportional to 2,087.48, 3,125.12 and 1,865.14

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Solution

The fourth proportional to 2,087.48, 3,125.12 and 1,865.14 is: 2,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.48 : 3,125.12 = 1,865.14 : x
  2. Step 2: Convert to fraction form
    2,087.48/3,125.12 = 1,865.14/x
  3. Step 3: Cross multiply
    2,087.48x = 3,125.12 × 1,865.14
  4. Step 4: Simplify right side
    2,087.48x = 5,828,786.32
  5. Step 5: Solve for x
    x = 5,828,786.32/2,087.48
  6. Step 6: Final answer
    x = 2,792.26

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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.