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Finding the Fourth Proportional to 2,087.76, 3,132.99 and 992.23

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Solution

The fourth proportional to 2,087.76, 3,132.99 and 992.23 is: 1,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.76 : 3,132.99 = 992.23 : x
  2. Step 2: Convert to fraction form
    2,087.76/3,132.99 = 992.23/x
  3. Step 3: Cross multiply
    2,087.76x = 3,132.99 × 992.23
  4. Step 4: Simplify right side
    2,087.76x = 3,108,646.67
  5. Step 5: Solve for x
    x = 3,108,646.67/2,087.76
  6. Step 6: Final answer
    x = 1,488.99

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1.5x scale

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.