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Finding the Fourth Proportional to 2,088.30, 3,134 and 992.67

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Solution

The fourth proportional to 2,088.30, 3,134 and 992.67 is: 1,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.30 : 3,134 = 992.67 : x
  2. Step 2: Convert to fraction form
    2,088.30/3,134 = 992.67/x
  3. Step 3: Cross multiply
    2,088.30x = 3,134 × 992.67
  4. Step 4: Simplify right side
    2,088.30x = 3,111,027.78
  5. Step 5: Solve for x
    x = 3,111,027.78/2,088.30
  6. Step 6: Final answer
    x = 1,489.74

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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.