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Finding the Fourth Proportional to 15,648, 21,594.24 and 8,574.70

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Solution

The fourth proportional to 15,648, 21,594.24 and 8,574.70 is: 11,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648 : 21,594.24 = 8,574.70 : x
  2. Step 2: Convert to fraction form
    15,648/21,594.24 = 8,574.70/x
  3. Step 3: Cross multiply
    15,648x = 21,594.24 × 8,574.70
  4. Step 4: Simplify right side
    15,648x = 185,164,129.73
  5. Step 5: Solve for x
    x = 185,164,129.73/15,648
  6. Step 6: Final answer
    x = 11,833.09

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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.