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Finding the Fourth Proportional to 34,165.38, 51,271.11 and 11,978.94

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Solution

The fourth proportional to 34,165.38, 51,271.11 and 11,978.94 is: 17,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.38 : 51,271.11 = 11,978.94 : x
  2. Step 2: Convert to fraction form
    34,165.38/51,271.11 = 11,978.94/x
  3. Step 3: Cross multiply
    34,165.38x = 51,271.11 × 11,978.94
  4. Step 4: Simplify right side
    34,165.38x = 614,173,550.42
  5. Step 5: Solve for x
    x = 614,173,550.42/34,165.38
  6. Step 6: Final answer
    x = 17,976.49

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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.