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Finding the Fourth Proportional to 18,655.10, 27,978.04 and 11,631.50

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Solution

The fourth proportional to 18,655.10, 27,978.04 and 11,631.50 is: 17,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.10 : 27,978.04 = 11,631.50 : x
  2. Step 2: Convert to fraction form
    18,655.10/27,978.04 = 11,631.50/x
  3. Step 3: Cross multiply
    18,655.10x = 27,978.04 × 11,631.50
  4. Step 4: Simplify right side
    18,655.10x = 325,426,572.26
  5. Step 5: Solve for x
    x = 325,426,572.26/18,655.10
  6. Step 6: Final answer
    x = 17,444.38

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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.