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Finding the Fourth Proportional to 15,797, 21,800.14 and 10,217.72

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Solution

The fourth proportional to 15,797, 21,800.14 and 10,217.72 is: 14,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797 : 21,800.14 = 10,217.72 : x
  2. Step 2: Convert to fraction form
    15,797/21,800.14 = 10,217.72/x
  3. Step 3: Cross multiply
    15,797x = 21,800.14 × 10,217.72
  4. Step 4: Simplify right side
    15,797x = 222,747,726.48
  5. Step 5: Solve for x
    x = 222,747,726.48/15,797
  6. Step 6: Final answer
    x = 14,100.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.