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Finding the Fourth Proportional to 4,938, 6,811.23 and 2,947.23

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Solution

The fourth proportional to 4,938, 6,811.23 and 2,947.23 is: 4,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938 : 6,811.23 = 2,947.23 : x
  2. Step 2: Convert to fraction form
    4,938/6,811.23 = 2,947.23/x
  3. Step 3: Cross multiply
    4,938x = 6,811.23 × 2,947.23
  4. Step 4: Simplify right side
    4,938x = 20,074,261.39
  5. Step 5: Solve for x
    x = 20,074,261.39/4,938
  6. Step 6: Final answer
    x = 4,065.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.