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Finding the Fourth Proportional to 15,855, 23,776.56 and 12,727.32

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Solution

The fourth proportional to 15,855, 23,776.56 and 12,727.32 is: 19,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855 : 23,776.56 = 12,727.32 : x
  2. Step 2: Convert to fraction form
    15,855/23,776.56 = 12,727.32/x
  3. Step 3: Cross multiply
    15,855x = 23,776.56 × 12,727.32
  4. Step 4: Simplify right side
    15,855x = 302,611,887.62
  5. Step 5: Solve for x
    x = 302,611,887.62/15,855
  6. Step 6: Final answer
    x = 19,086.21

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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.