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Finding the Fourth Proportional to 4,869, 7,304.58 and 1,791

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Solution

The fourth proportional to 4,869, 7,304.58 and 1,791 is: 2,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 7,304.58 = 1,791 : x
  2. Step 2: Convert to fraction form
    4,869/7,304.58 = 1,791/x
  3. Step 3: Cross multiply
    4,869x = 7,304.58 × 1,791
  4. Step 4: Simplify right side
    4,869x = 13,082,502.78
  5. Step 5: Solve for x
    x = 13,082,502.78/4,869
  6. Step 6: Final answer
    x = 2,686.90

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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.