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Finding the Fourth Proportional to 2,087.35, 3,130.95 and 992.50

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Solution

The fourth proportional to 2,087.35, 3,130.95 and 992.50 is: 1,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.35 : 3,130.95 = 992.50 : x
  2. Step 2: Convert to fraction form
    2,087.35/3,130.95 = 992.50/x
  3. Step 3: Cross multiply
    2,087.35x = 3,130.95 × 992.50
  4. Step 4: Simplify right side
    2,087.35x = 3,107,467.88
  5. Step 5: Solve for x
    x = 3,107,467.88/2,087.35
  6. Step 6: Final answer
    x = 1,488.71

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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.