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Finding the Fourth Proportional to 5,785.51, 7,984 and 3,132.92

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Solution

The fourth proportional to 5,785.51, 7,984 and 3,132.92 is: 4,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.51 : 7,984 = 3,132.92 : x
  2. Step 2: Convert to fraction form
    5,785.51/7,984 = 3,132.92/x
  3. Step 3: Cross multiply
    5,785.51x = 7,984 × 3,132.92
  4. Step 4: Simplify right side
    5,785.51x = 25,013,193.36
  5. Step 5: Solve for x
    x = 25,013,193.36/5,785.51
  6. Step 6: Final answer
    x = 4,323.42

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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.