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Finding the Fourth Proportional to 2,047.12, 3,068.75 and 815.29

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Solution

The fourth proportional to 2,047.12, 3,068.75 and 815.29 is: 1,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.12 : 3,068.75 = 815.29 : x
  2. Step 2: Convert to fraction form
    2,047.12/3,068.75 = 815.29/x
  3. Step 3: Cross multiply
    2,047.12x = 3,068.75 × 815.29
  4. Step 4: Simplify right side
    2,047.12x = 2,501,917.11
  5. Step 5: Solve for x
    x = 2,501,917.11/2,047.12
  6. Step 6: Final answer
    x = 1,222.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.