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Finding the Fourth Proportional to 21,095.16, 31,644.90 and 7,958.58

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Solution

The fourth proportional to 21,095.16, 31,644.90 and 7,958.58 is: 11,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.16 : 31,644.90 = 7,958.58 : x
  2. Step 2: Convert to fraction form
    21,095.16/31,644.90 = 7,958.58/x
  3. Step 3: Cross multiply
    21,095.16x = 31,644.90 × 7,958.58
  4. Step 4: Simplify right side
    21,095.16x = 251,848,468.24
  5. Step 5: Solve for x
    x = 251,848,468.24/21,095.16
  6. Step 6: Final answer
    x = 11,938.68

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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.