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Finding the Fourth Proportional to 2,383.53, 3,572.64 and 921.48

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Solution

The fourth proportional to 2,383.53, 3,572.64 and 921.48 is: 1,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.53 : 3,572.64 = 921.48 : x
  2. Step 2: Convert to fraction form
    2,383.53/3,572.64 = 921.48/x
  3. Step 3: Cross multiply
    2,383.53x = 3,572.64 × 921.48
  4. Step 4: Simplify right side
    2,383.53x = 3,292,116.31
  5. Step 5: Solve for x
    x = 3,292,116.31/2,383.53
  6. Step 6: Final answer
    x = 1,381.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.