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Finding the Fourth Proportional to 15,634.98, 21,576.31 and 8,464.98

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Solution

The fourth proportional to 15,634.98, 21,576.31 and 8,464.98 is: 11,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.98 : 21,576.31 = 8,464.98 : x
  2. Step 2: Convert to fraction form
    15,634.98/21,576.31 = 8,464.98/x
  3. Step 3: Cross multiply
    15,634.98x = 21,576.31 × 8,464.98
  4. Step 4: Simplify right side
    15,634.98x = 182,642,976.38
  5. Step 5: Solve for x
    x = 182,642,976.38/15,634.98
  6. Step 6: Final answer
    x = 11,681.69

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1.5x scale

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.