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Finding the Fourth Proportional to 15,441.56, 21,309.42 and 8,368

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Solution

The fourth proportional to 15,441.56, 21,309.42 and 8,368 is: 11,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.56 : 21,309.42 = 8,368 : x
  2. Step 2: Convert to fraction form
    15,441.56/21,309.42 = 8,368/x
  3. Step 3: Cross multiply
    15,441.56x = 21,309.42 × 8,368
  4. Step 4: Simplify right side
    15,441.56x = 178,317,226.56
  5. Step 5: Solve for x
    x = 178,317,226.56/15,441.56
  6. Step 6: Final answer
    x = 11,547.88

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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.