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Finding the Fourth Proportional to 4,999, 6,895.56 and 3,935.20

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Solution

The fourth proportional to 4,999, 6,895.56 and 3,935.20 is: 5,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999 : 6,895.56 = 3,935.20 : x
  2. Step 2: Convert to fraction form
    4,999/6,895.56 = 3,935.20/x
  3. Step 3: Cross multiply
    4,999x = 6,895.56 × 3,935.20
  4. Step 4: Simplify right side
    4,999x = 27,135,407.71
  5. Step 5: Solve for x
    x = 27,135,407.71/4,999
  6. Step 6: Final answer
    x = 5,428.17

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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.