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Finding the Fourth Proportional to 5,072, 6,999.45 and 2,976.08

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Solution

The fourth proportional to 5,072, 6,999.45 and 2,976.08 is: 4,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072 : 6,999.45 = 2,976.08 : x
  2. Step 2: Convert to fraction form
    5,072/6,999.45 = 2,976.08/x
  3. Step 3: Cross multiply
    5,072x = 6,999.45 × 2,976.08
  4. Step 4: Simplify right side
    5,072x = 20,830,923.16
  5. Step 5: Solve for x
    x = 20,830,923.16/5,072
  6. Step 6: Final answer
    x = 4,107.04

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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.