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Finding the Fourth Proportional to 10,873.50, 15,005.44 and 5,905.50

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Solution

The fourth proportional to 10,873.50, 15,005.44 and 5,905.50 is: 8,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.50 : 15,005.44 = 5,905.50 : x
  2. Step 2: Convert to fraction form
    10,873.50/15,005.44 = 5,905.50/x
  3. Step 3: Cross multiply
    10,873.50x = 15,005.44 × 5,905.50
  4. Step 4: Simplify right side
    10,873.50x = 88,614,625.92
  5. Step 5: Solve for x
    x = 88,614,625.92/10,873.50
  6. Step 6: Final answer
    x = 8,149.60

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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.