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Finding the Fourth Proportional to 15,586, 21,500.02 and 10,200.96

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Solution

The fourth proportional to 15,586, 21,500.02 and 10,200.96 is: 14,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 21,500.02 = 10,200.96 : x
  2. Step 2: Convert to fraction form
    15,586/21,500.02 = 10,200.96/x
  3. Step 3: Cross multiply
    15,586x = 21,500.02 × 10,200.96
  4. Step 4: Simplify right side
    15,586x = 219,320,844.02
  5. Step 5: Solve for x
    x = 219,320,844.02/15,586
  6. Step 6: Final answer
    x = 14,071.66

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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.