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Finding the Fourth Proportional to 1,667.52, 2,301.12 and 921.48

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Solution

The fourth proportional to 1,667.52, 2,301.12 and 921.48 is: 1,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.52 : 2,301.12 = 921.48 : x
  2. Step 2: Convert to fraction form
    1,667.52/2,301.12 = 921.48/x
  3. Step 3: Cross multiply
    1,667.52x = 2,301.12 × 921.48
  4. Step 4: Simplify right side
    1,667.52x = 2,120,436.06
  5. Step 5: Solve for x
    x = 2,120,436.06/1,667.52
  6. Step 6: Final answer
    x = 1,271.61

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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.