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Finding the Fourth Proportional to 7,852.92, 11,781.24 and 2,922.72

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Solution

The fourth proportional to 7,852.92, 11,781.24 and 2,922.72 is: 4,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.92 : 11,781.24 = 2,922.72 : x
  2. Step 2: Convert to fraction form
    7,852.92/11,781.24 = 2,922.72/x
  3. Step 3: Cross multiply
    7,852.92x = 11,781.24 × 2,922.72
  4. Step 4: Simplify right side
    7,852.92x = 34,433,265.77
  5. Step 5: Solve for x
    x = 34,433,265.77/7,852.92
  6. Step 6: Final answer
    x = 4,384.77

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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.