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Finding the Fourth Proportional to 21,167, 31,752.08 and 7,126.98

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Solution

The fourth proportional to 21,167, 31,752.08 and 7,126.98 is: 10,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167 : 31,752.08 = 7,126.98 : x
  2. Step 2: Convert to fraction form
    21,167/31,752.08 = 7,126.98/x
  3. Step 3: Cross multiply
    21,167x = 31,752.08 × 7,126.98
  4. Step 4: Simplify right side
    21,167x = 226,296,439.12
  5. Step 5: Solve for x
    x = 226,296,439.12/21,167
  6. Step 6: Final answer
    x = 10,691.00

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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.