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Finding the Fourth Proportional to 5,072.13, 6,999.54 and 2,864.13

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Solution

The fourth proportional to 5,072.13, 6,999.54 and 2,864.13 is: 3,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.13 : 6,999.54 = 2,864.13 : x
  2. Step 2: Convert to fraction form
    5,072.13/6,999.54 = 2,864.13/x
  3. Step 3: Cross multiply
    5,072.13x = 6,999.54 × 2,864.13
  4. Step 4: Simplify right side
    5,072.13x = 20,047,543.18
  5. Step 5: Solve for x
    x = 20,047,543.18/5,072.13
  6. Step 6: Final answer
    x = 3,952.49

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