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Finding the Fourth Proportional to 15,566, 21,481.08 and 8,492.58

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Solution

The fourth proportional to 15,566, 21,481.08 and 8,492.58 is: 11,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566 : 21,481.08 = 8,492.58 : x
  2. Step 2: Convert to fraction form
    15,566/21,481.08 = 8,492.58/x
  3. Step 3: Cross multiply
    15,566x = 21,481.08 × 8,492.58
  4. Step 4: Simplify right side
    15,566x = 182,429,682.98
  5. Step 5: Solve for x
    x = 182,429,682.98/15,566
  6. Step 6: Final answer
    x = 11,719.75

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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.