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Finding the Fourth Proportional to 21,175.83, 31,762.84 and 7,134.93

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Solution

The fourth proportional to 21,175.83, 31,762.84 and 7,134.93 is: 10,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.83 : 31,762.84 = 7,134.93 : x
  2. Step 2: Convert to fraction form
    21,175.83/31,762.84 = 7,134.93/x
  3. Step 3: Cross multiply
    21,175.83x = 31,762.84 × 7,134.93
  4. Step 4: Simplify right side
    21,175.83x = 226,625,604.33
  5. Step 5: Solve for x
    x = 226,625,604.33/21,175.83
  6. Step 6: Final answer
    x = 10,702.09

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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.