Home / 1,502.24-2,072.40-942.32

Finding the Fourth Proportional to 1,502.24, 2,072.40 and 942.32

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Solution

The fourth proportional to 1,502.24, 2,072.40 and 942.32 is: 1,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.24 : 2,072.40 = 942.32 : x
  2. Step 2: Convert to fraction form
    1,502.24/2,072.40 = 942.32/x
  3. Step 3: Cross multiply
    1,502.24x = 2,072.40 × 942.32
  4. Step 4: Simplify right side
    1,502.24x = 1,952,863.97
  5. Step 5: Solve for x
    x = 1,952,863.97/1,502.24
  6. Step 6: Final answer
    x = 1,299.97

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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.