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Finding the Fourth Proportional to 10,407.74, 15,619.81 and 5,480.30

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Solution

The fourth proportional to 10,407.74, 15,619.81 and 5,480.30 is: 8,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.74 : 15,619.81 = 5,480.30 : x
  2. Step 2: Convert to fraction form
    10,407.74/15,619.81 = 5,480.30/x
  3. Step 3: Cross multiply
    10,407.74x = 15,619.81 × 5,480.30
  4. Step 4: Simplify right side
    10,407.74x = 85,601,244.74
  5. Step 5: Solve for x
    x = 85,601,244.74/10,407.74
  6. Step 6: Final answer
    x = 8,224.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.