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Finding the Fourth Proportional to 15,866.54, 21,846 and 13,471.58

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Solution

The fourth proportional to 15,866.54, 21,846 and 13,471.58 is: 18,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.54 : 21,846 = 13,471.58 : x
  2. Step 2: Convert to fraction form
    15,866.54/21,846 = 13,471.58/x
  3. Step 3: Cross multiply
    15,866.54x = 21,846 × 13,471.58
  4. Step 4: Simplify right side
    15,866.54x = 294,300,136.68
  5. Step 5: Solve for x
    x = 294,300,136.68/15,866.54
  6. Step 6: Final answer
    x = 18,548.48

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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.