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Finding the Fourth Proportional to 1,141, 1,720.48 and 927.16

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Solution

The fourth proportional to 1,141, 1,720.48 and 927.16 is: 1,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141 : 1,720.48 = 927.16 : x
  2. Step 2: Convert to fraction form
    1,141/1,720.48 = 927.16/x
  3. Step 3: Cross multiply
    1,141x = 1,720.48 × 927.16
  4. Step 4: Simplify right side
    1,141x = 1,595,160.24
  5. Step 5: Solve for x
    x = 1,595,160.24/1,141
  6. Step 6: Final answer
    x = 1,398.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.