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Finding the Fourth Proportional to 3,494.01, 5,239.88 and 1,153.47

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Solution

The fourth proportional to 3,494.01, 5,239.88 and 1,153.47 is: 1,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.01 : 5,239.88 = 1,153.47 : x
  2. Step 2: Convert to fraction form
    3,494.01/5,239.88 = 1,153.47/x
  3. Step 3: Cross multiply
    3,494.01x = 5,239.88 × 1,153.47
  4. Step 4: Simplify right side
    3,494.01x = 6,044,044.38
  5. Step 5: Solve for x
    x = 6,044,044.38/3,494.01
  6. Step 6: Final answer
    x = 1,729.83

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1.5x scale

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.