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Finding the Fourth Proportional to 7,811.49, 11,717.10 and 1,967.97

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Solution

The fourth proportional to 7,811.49, 11,717.10 and 1,967.97 is: 2,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.49 : 11,717.10 = 1,967.97 : x
  2. Step 2: Convert to fraction form
    7,811.49/11,717.10 = 1,967.97/x
  3. Step 3: Cross multiply
    7,811.49x = 11,717.10 × 1,967.97
  4. Step 4: Simplify right side
    7,811.49x = 23,058,901.29
  5. Step 5: Solve for x
    x = 23,058,901.29/7,811.49
  6. Step 6: Final answer
    x = 2,951.92

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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.