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Finding the Fourth Proportional to 15,566, 21,481.08 and 9,977

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Solution

The fourth proportional to 15,566, 21,481.08 and 9,977 is: 13,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566 : 21,481.08 = 9,977 : x
  2. Step 2: Convert to fraction form
    15,566/21,481.08 = 9,977/x
  3. Step 3: Cross multiply
    15,566x = 21,481.08 × 9,977
  4. Step 4: Simplify right side
    15,566x = 214,316,735.16
  5. Step 5: Solve for x
    x = 214,316,735.16/15,566
  6. Step 6: Final answer
    x = 13,768.26

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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.