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Finding the Fourth Proportional to 2,127.72, 3,192.78 and 1,032.32

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Solution

The fourth proportional to 2,127.72, 3,192.78 and 1,032.32 is: 1,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.72 : 3,192.78 = 1,032.32 : x
  2. Step 2: Convert to fraction form
    2,127.72/3,192.78 = 1,032.32/x
  3. Step 3: Cross multiply
    2,127.72x = 3,192.78 × 1,032.32
  4. Step 4: Simplify right side
    2,127.72x = 3,295,970.65
  5. Step 5: Solve for x
    x = 3,295,970.65/2,127.72
  6. Step 6: Final answer
    x = 1,549.06

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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.