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Finding the Fourth Proportional to 19,447, 26,836.86 and 10,615

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Solution

The fourth proportional to 19,447, 26,836.86 and 10,615 is: 14,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447 : 26,836.86 = 10,615 : x
  2. Step 2: Convert to fraction form
    19,447/26,836.86 = 10,615/x
  3. Step 3: Cross multiply
    19,447x = 26,836.86 × 10,615
  4. Step 4: Simplify right side
    19,447x = 284,873,268.90
  5. Step 5: Solve for x
    x = 284,873,268.90/19,447
  6. Step 6: Final answer
    x = 14,648.70

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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.