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Finding the Fourth Proportional to 34,138, 51,211.32 and 9,514

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Solution

The fourth proportional to 34,138, 51,211.32 and 9,514 is: 14,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138 : 51,211.32 = 9,514 : x
  2. Step 2: Convert to fraction form
    34,138/51,211.32 = 9,514/x
  3. Step 3: Cross multiply
    34,138x = 51,211.32 × 9,514
  4. Step 4: Simplify right side
    34,138x = 487,224,498.48
  5. Step 5: Solve for x
    x = 487,224,498.48/34,138
  6. Step 6: Final answer
    x = 14,272.20

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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.