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Finding the Fourth Proportional to 15,846.66, 21,873.24 and 9,136.76

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Solution

The fourth proportional to 15,846.66, 21,873.24 and 9,136.76 is: 12,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.66 : 21,873.24 = 9,136.76 : x
  2. Step 2: Convert to fraction form
    15,846.66/21,873.24 = 9,136.76/x
  3. Step 3: Cross multiply
    15,846.66x = 21,873.24 × 9,136.76
  4. Step 4: Simplify right side
    15,846.66x = 199,850,434.94
  5. Step 5: Solve for x
    x = 199,850,434.94/15,846.66
  6. Step 6: Final answer
    x = 12,611.52

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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.