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Finding the Fourth Proportional to 18,405.24, 27,607.50 and 5,257.50

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Solution

The fourth proportional to 18,405.24, 27,607.50 and 5,257.50 is: 7,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405.24 : 27,607.50 = 5,257.50 : x
  2. Step 2: Convert to fraction form
    18,405.24/27,607.50 = 5,257.50/x
  3. Step 3: Cross multiply
    18,405.24x = 27,607.50 × 5,257.50
  4. Step 4: Simplify right side
    18,405.24x = 145,146,431.25
  5. Step 5: Solve for x
    x = 145,146,431.25/18,405.24
  6. Step 6: Final answer
    x = 7,886.15

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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.