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Finding the Fourth Proportional to 7,954.92, 11,931.03 and 2,111.04

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Solution

The fourth proportional to 7,954.92, 11,931.03 and 2,111.04 is: 3,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.92 : 11,931.03 = 2,111.04 : x
  2. Step 2: Convert to fraction form
    7,954.92/11,931.03 = 2,111.04/x
  3. Step 3: Cross multiply
    7,954.92x = 11,931.03 × 2,111.04
  4. Step 4: Simplify right side
    7,954.92x = 25,186,881.57
  5. Step 5: Solve for x
    x = 25,186,881.57/7,954.92
  6. Step 6: Final answer
    x = 3,166.20

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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.