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Finding the Fourth Proportional to 5,469.90, 7,548.46 and 2,985.90

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Solution

The fourth proportional to 5,469.90, 7,548.46 and 2,985.90 is: 4,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.90 : 7,548.46 = 2,985.90 : x
  2. Step 2: Convert to fraction form
    5,469.90/7,548.46 = 2,985.90/x
  3. Step 3: Cross multiply
    5,469.90x = 7,548.46 × 2,985.90
  4. Step 4: Simplify right side
    5,469.90x = 22,538,946.71
  5. Step 5: Solve for x
    x = 22,538,946.71/5,469.90
  6. Step 6: Final answer
    x = 4,120.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.