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Finding the Fourth Proportional to 10,122.37, 15,143 and 8,750.48

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Solution

The fourth proportional to 10,122.37, 15,143 and 8,750.48 is: 13,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.37 : 15,143 = 8,750.48 : x
  2. Step 2: Convert to fraction form
    10,122.37/15,143 = 8,750.48/x
  3. Step 3: Cross multiply
    10,122.37x = 15,143 × 8,750.48
  4. Step 4: Simplify right side
    10,122.37x = 132,508,518.64
  5. Step 5: Solve for x
    x = 132,508,518.64/10,122.37
  6. Step 6: Final answer
    x = 13,090.66

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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.