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Finding the Fourth Proportional to 1,502.09, 2,072.43 and 872.50

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Solution

The fourth proportional to 1,502.09, 2,072.43 and 872.50 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.09 : 2,072.43 = 872.50 : x
  2. Step 2: Convert to fraction form
    1,502.09/2,072.43 = 872.50/x
  3. Step 3: Cross multiply
    1,502.09x = 2,072.43 × 872.50
  4. Step 4: Simplify right side
    1,502.09x = 1,808,196.33
  5. Step 5: Solve for x
    x = 1,808,196.33/1,502.09
  6. Step 6: Final answer
    x = 1,203.79

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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.