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Finding the Fourth Proportional to 3,486.98, 5,255.54 and 3,005.84

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Solution

The fourth proportional to 3,486.98, 5,255.54 and 3,005.84 is: 4,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.98 : 5,255.54 = 3,005.84 : x
  2. Step 2: Convert to fraction form
    3,486.98/5,255.54 = 3,005.84/x
  3. Step 3: Cross multiply
    3,486.98x = 5,255.54 × 3,005.84
  4. Step 4: Simplify right side
    3,486.98x = 15,797,312.35
  5. Step 5: Solve for x
    x = 15,797,312.35/3,486.98
  6. Step 6: Final answer
    x = 4,530.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.