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Finding the Fourth Proportional to 2,087.40, 3,130.02 and 992.28

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Solution

The fourth proportional to 2,087.40, 3,130.02 and 992.28 is: 1,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.40 : 3,130.02 = 992.28 : x
  2. Step 2: Convert to fraction form
    2,087.40/3,130.02 = 992.28/x
  3. Step 3: Cross multiply
    2,087.40x = 3,130.02 × 992.28
  4. Step 4: Simplify right side
    2,087.40x = 3,105,856.25
  5. Step 5: Solve for x
    x = 3,105,856.25/2,087.40
  6. Step 6: Final answer
    x = 1,487.91

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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.