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Finding the Fourth Proportional to 34,138.50, 47,111.13 and 19,234.50

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Solution

The fourth proportional to 34,138.50, 47,111.13 and 19,234.50 is: 26,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.50 : 47,111.13 = 19,234.50 : x
  2. Step 2: Convert to fraction form
    34,138.50/47,111.13 = 19,234.50/x
  3. Step 3: Cross multiply
    34,138.50x = 47,111.13 × 19,234.50
  4. Step 4: Simplify right side
    34,138.50x = 906,159,029.99
  5. Step 5: Solve for x
    x = 906,159,029.99/34,138.50
  6. Step 6: Final answer
    x = 26,543.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.