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Finding the Fourth Proportional to 15,837.48, 21,856.48 and 9,124.16

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Solution

The fourth proportional to 15,837.48, 21,856.48 and 9,124.16 is: 12,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.48 : 21,856.48 = 9,124.16 : x
  2. Step 2: Convert to fraction form
    15,837.48/21,856.48 = 9,124.16/x
  3. Step 3: Cross multiply
    15,837.48x = 21,856.48 × 9,124.16
  4. Step 4: Simplify right side
    15,837.48x = 199,422,020.56
  5. Step 5: Solve for x
    x = 199,422,020.56/15,837.48
  6. Step 6: Final answer
    x = 12,591.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.