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Finding the Fourth Proportional to 15,578, 21,497.74 and 8,504.46

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Solution

The fourth proportional to 15,578, 21,497.74 and 8,504.46 is: 11,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 21,497.74 = 8,504.46 : x
  2. Step 2: Convert to fraction form
    15,578/21,497.74 = 8,504.46/x
  3. Step 3: Cross multiply
    15,578x = 21,497.74 × 8,504.46
  4. Step 4: Simplify right side
    15,578x = 182,826,669.92
  5. Step 5: Solve for x
    x = 182,826,669.92/15,578
  6. Step 6: Final answer
    x = 11,736.21

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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.