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Finding the Fourth Proportional to 4,737.88, 7,105.74 and 1,275.40

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Solution

The fourth proportional to 4,737.88, 7,105.74 and 1,275.40 is: 1,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.88 : 7,105.74 = 1,275.40 : x
  2. Step 2: Convert to fraction form
    4,737.88/7,105.74 = 1,275.40/x
  3. Step 3: Cross multiply
    4,737.88x = 7,105.74 × 1,275.40
  4. Step 4: Simplify right side
    4,737.88x = 9,062,660.80
  5. Step 5: Solve for x
    x = 9,062,660.80/4,737.88
  6. Step 6: Final answer
    x = 1,912.81

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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.