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Finding the Fourth Proportional to 21,026, 31,539 and 7,175

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Solution

The fourth proportional to 21,026, 31,539 and 7,175 is: 10,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026 : 31,539 = 7,175 : x
  2. Step 2: Convert to fraction form
    21,026/31,539 = 7,175/x
  3. Step 3: Cross multiply
    21,026x = 31,539 × 7,175
  4. Step 4: Simplify right side
    21,026x = 226,292,325
  5. Step 5: Solve for x
    x = 226,292,325/21,026
  6. Step 6: Final answer
    x = 10,762.50

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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.