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Finding the Fourth Proportional to 7,824.79, 11,737.18 and 3,144.80

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Solution

The fourth proportional to 7,824.79, 11,737.18 and 3,144.80 is: 4,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.79 : 11,737.18 = 3,144.80 : x
  2. Step 2: Convert to fraction form
    7,824.79/11,737.18 = 3,144.80/x
  3. Step 3: Cross multiply
    7,824.79x = 11,737.18 × 3,144.80
  4. Step 4: Simplify right side
    7,824.79x = 36,911,083.66
  5. Step 5: Solve for x
    x = 36,911,083.66/7,824.79
  6. Step 6: Final answer
    x = 4,717.20

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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.