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Finding the Fourth Proportional to 15,928, 21,979.60 and 8,854.16

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Solution

The fourth proportional to 15,928, 21,979.60 and 8,854.16 is: 12,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928 : 21,979.60 = 8,854.16 : x
  2. Step 2: Convert to fraction form
    15,928/21,979.60 = 8,854.16/x
  3. Step 3: Cross multiply
    15,928x = 21,979.60 × 8,854.16
  4. Step 4: Simplify right side
    15,928x = 194,610,895.14
  5. Step 5: Solve for x
    x = 194,610,895.14/15,928
  6. Step 6: Final answer
    x = 12,218.16

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Why These Related Problems?

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