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Finding the Fourth Proportional to 2,032.40, 3,047.16 and 992.72

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Solution

The fourth proportional to 2,032.40, 3,047.16 and 992.72 is: 1,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.40 : 3,047.16 = 992.72 : x
  2. Step 2: Convert to fraction form
    2,032.40/3,047.16 = 992.72/x
  3. Step 3: Cross multiply
    2,032.40x = 3,047.16 × 992.72
  4. Step 4: Simplify right side
    2,032.40x = 3,024,976.68
  5. Step 5: Solve for x
    x = 3,024,976.68/2,032.40
  6. Step 6: Final answer
    x = 1,488.38

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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.