Home / 10,102.40-15,146.76-5,162.48

Finding the Fourth Proportional to 10,102.40, 15,146.76 and 5,162.48

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Solution

The fourth proportional to 10,102.40, 15,146.76 and 5,162.48 is: 7,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.40 : 15,146.76 = 5,162.48 : x
  2. Step 2: Convert to fraction form
    10,102.40/15,146.76 = 5,162.48/x
  3. Step 3: Cross multiply
    10,102.40x = 15,146.76 × 5,162.48
  4. Step 4: Simplify right side
    10,102.40x = 78,194,845.56
  5. Step 5: Solve for x
    x = 78,194,845.56/10,102.40
  6. Step 6: Final answer
    x = 7,740.22

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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.