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Finding the Fourth Proportional to 17,856, 24,641.28 and 10,405.44

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Solution

The fourth proportional to 17,856, 24,641.28 and 10,405.44 is: 14,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 24,641.28 = 10,405.44 : x
  2. Step 2: Convert to fraction form
    17,856/24,641.28 = 10,405.44/x
  3. Step 3: Cross multiply
    17,856x = 24,641.28 × 10,405.44
  4. Step 4: Simplify right side
    17,856x = 256,403,360.56
  5. Step 5: Solve for x
    x = 256,403,360.56/17,856
  6. Step 6: Final answer
    x = 14,359.51

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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.