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Finding the Fourth Proportional to 18,657.24, 27,985.92 and 12,796.08

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Solution

The fourth proportional to 18,657.24, 27,985.92 and 12,796.08 is: 19,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.24 : 27,985.92 = 12,796.08 : x
  2. Step 2: Convert to fraction form
    18,657.24/27,985.92 = 12,796.08/x
  3. Step 3: Cross multiply
    18,657.24x = 27,985.92 × 12,796.08
  4. Step 4: Simplify right side
    18,657.24x = 358,110,071.19
  5. Step 5: Solve for x
    x = 358,110,071.19/18,657.24
  6. Step 6: Final answer
    x = 19,194.16

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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.