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Finding the Fourth Proportional to 12,656.96, 18,985.44 and 3,891.80

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Solution

The fourth proportional to 12,656.96, 18,985.44 and 3,891.80 is: 5,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.96 : 18,985.44 = 3,891.80 : x
  2. Step 2: Convert to fraction form
    12,656.96/18,985.44 = 3,891.80/x
  3. Step 3: Cross multiply
    12,656.96x = 18,985.44 × 3,891.80
  4. Step 4: Simplify right side
    12,656.96x = 73,887,468.77
  5. Step 5: Solve for x
    x = 73,887,468.77/12,656.96
  6. Step 6: Final answer
    x = 5,837.70

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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.