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Finding the Fourth Proportional to 5,257, 7,885.48 and 3,608.54

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Solution

The fourth proportional to 5,257, 7,885.48 and 3,608.54 is: 5,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257 : 7,885.48 = 3,608.54 : x
  2. Step 2: Convert to fraction form
    5,257/7,885.48 = 3,608.54/x
  3. Step 3: Cross multiply
    5,257x = 7,885.48 × 3,608.54
  4. Step 4: Simplify right side
    5,257x = 28,455,070.00
  5. Step 5: Solve for x
    x = 28,455,070.00/5,257
  6. Step 6: Final answer
    x = 5,412.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.