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Finding the Fourth Proportional to 4,806.70, 7,211.81 and 1,887.01

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Solution

The fourth proportional to 4,806.70, 7,211.81 and 1,887.01 is: 2,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.70 : 7,211.81 = 1,887.01 : x
  2. Step 2: Convert to fraction form
    4,806.70/7,211.81 = 1,887.01/x
  3. Step 3: Cross multiply
    4,806.70x = 7,211.81 × 1,887.01
  4. Step 4: Simplify right side
    4,806.70x = 13,608,757.59
  5. Step 5: Solve for x
    x = 13,608,757.59/4,806.70
  6. Step 6: Final answer
    x = 2,831.21

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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.