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Finding the Fourth Proportional to 7,138.63, 10,712 and 4,799.76

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Solution

The fourth proportional to 7,138.63, 10,712 and 4,799.76 is: 7,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.63 : 10,712 = 4,799.76 : x
  2. Step 2: Convert to fraction form
    7,138.63/10,712 = 4,799.76/x
  3. Step 3: Cross multiply
    7,138.63x = 10,712 × 4,799.76
  4. Step 4: Simplify right side
    7,138.63x = 51,415,029.12
  5. Step 5: Solve for x
    x = 51,415,029.12/7,138.63
  6. Step 6: Final answer
    x = 7,202.37

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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.