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Finding the Fourth Proportional to 5,785.54, 7,984.20 and 3,548.65

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Solution

The fourth proportional to 5,785.54, 7,984.20 and 3,548.65 is: 4,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.54 : 7,984.20 = 3,548.65 : x
  2. Step 2: Convert to fraction form
    5,785.54/7,984.20 = 3,548.65/x
  3. Step 3: Cross multiply
    5,785.54x = 7,984.20 × 3,548.65
  4. Step 4: Simplify right side
    5,785.54x = 28,333,132.16
  5. Step 5: Solve for x
    x = 28,333,132.16/5,785.54
  6. Step 6: Final answer
    x = 4,897.23

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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.