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Finding the Fourth Proportional to 15,685, 21,646.26 and 9,061

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Solution

The fourth proportional to 15,685, 21,646.26 and 9,061 is: 12,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685 : 21,646.26 = 9,061 : x
  2. Step 2: Convert to fraction form
    15,685/21,646.26 = 9,061/x
  3. Step 3: Cross multiply
    15,685x = 21,646.26 × 9,061
  4. Step 4: Simplify right side
    15,685x = 196,136,761.86
  5. Step 5: Solve for x
    x = 196,136,761.86/15,685
  6. Step 6: Final answer
    x = 12,504.73

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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.