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Finding the Fourth Proportional to 4,938.98, 6,812.36 and 2,948

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Solution

The fourth proportional to 4,938.98, 6,812.36 and 2,948 is: 4,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.98 : 6,812.36 = 2,948 : x
  2. Step 2: Convert to fraction form
    4,938.98/6,812.36 = 2,948/x
  3. Step 3: Cross multiply
    4,938.98x = 6,812.36 × 2,948
  4. Step 4: Simplify right side
    4,938.98x = 20,082,837.28
  5. Step 5: Solve for x
    x = 20,082,837.28/4,938.98
  6. Step 6: Final answer
    x = 4,066.19

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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.