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Finding the Fourth Proportional to 12,055.80, 18,051.30 and 7,649.40

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Solution

The fourth proportional to 12,055.80, 18,051.30 and 7,649.40 is: 11,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.80 : 18,051.30 = 7,649.40 : x
  2. Step 2: Convert to fraction form
    12,055.80/18,051.30 = 7,649.40/x
  3. Step 3: Cross multiply
    12,055.80x = 18,051.30 × 7,649.40
  4. Step 4: Simplify right side
    12,055.80x = 138,081,614.22
  5. Step 5: Solve for x
    x = 138,081,614.22/12,055.80
  6. Step 6: Final answer
    x = 11,453.54

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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.