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Finding the Fourth Proportional to 7,853.60, 11,781.05 and 2,922.05

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Solution

The fourth proportional to 7,853.60, 11,781.05 and 2,922.05 is: 4,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.60 : 11,781.05 = 2,922.05 : x
  2. Step 2: Convert to fraction form
    7,853.60/11,781.05 = 2,922.05/x
  3. Step 3: Cross multiply
    7,853.60x = 11,781.05 × 2,922.05
  4. Step 4: Simplify right side
    7,853.60x = 34,424,831.99
  5. Step 5: Solve for x
    x = 34,424,831.99/7,853.60
  6. Step 6: Final answer
    x = 4,383.32

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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.