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Finding the Fourth Proportional to 7,934.55, 11,897.04 and 4,189.31

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Solution

The fourth proportional to 7,934.55, 11,897.04 and 4,189.31 is: 6,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.55 : 11,897.04 = 4,189.31 : x
  2. Step 2: Convert to fraction form
    7,934.55/11,897.04 = 4,189.31/x
  3. Step 3: Cross multiply
    7,934.55x = 11,897.04 × 4,189.31
  4. Step 4: Simplify right side
    7,934.55x = 49,840,418.39
  5. Step 5: Solve for x
    x = 49,840,418.39/7,934.55
  6. Step 6: Final answer
    x = 6,281.44

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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.