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Finding the Fourth Proportional to 1,502.25, 2,072.05 and 1,378.32

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Solution

The fourth proportional to 1,502.25, 2,072.05 and 1,378.32 is: 1,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.25 : 2,072.05 = 1,378.32 : x
  2. Step 2: Convert to fraction form
    1,502.25/2,072.05 = 1,378.32/x
  3. Step 3: Cross multiply
    1,502.25x = 2,072.05 × 1,378.32
  4. Step 4: Simplify right side
    1,502.25x = 2,855,947.96
  5. Step 5: Solve for x
    x = 2,855,947.96/1,502.25
  6. Step 6: Final answer
    x = 1,901.11

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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.