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Finding the Fourth Proportional to 10,203.68, 14,080 and 5,727.52

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Solution

The fourth proportional to 10,203.68, 14,080 and 5,727.52 is: 7,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.68 : 14,080 = 5,727.52 : x
  2. Step 2: Convert to fraction form
    10,203.68/14,080 = 5,727.52/x
  3. Step 3: Cross multiply
    10,203.68x = 14,080 × 5,727.52
  4. Step 4: Simplify right side
    10,203.68x = 80,643,481.60
  5. Step 5: Solve for x
    x = 80,643,481.60/10,203.68
  6. Step 6: Final answer
    x = 7,903.37

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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.