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Finding the Fourth Proportional to 21,076.88, 31,612 and 7,037.16

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Solution

The fourth proportional to 21,076.88, 31,612 and 7,037.16 is: 10,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.88 : 31,612 = 7,037.16 : x
  2. Step 2: Convert to fraction form
    21,076.88/31,612 = 7,037.16/x
  3. Step 3: Cross multiply
    21,076.88x = 31,612 × 7,037.16
  4. Step 4: Simplify right side
    21,076.88x = 222,458,701.92
  5. Step 5: Solve for x
    x = 222,458,701.92/21,076.88
  6. Step 6: Final answer
    x = 10,554.63

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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.