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Finding the Fourth Proportional to 6,715, 10,071.40 and 4,761.28

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Solution

The fourth proportional to 6,715, 10,071.40 and 4,761.28 is: 7,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715 : 10,071.40 = 4,761.28 : x
  2. Step 2: Convert to fraction form
    6,715/10,071.40 = 4,761.28/x
  3. Step 3: Cross multiply
    6,715x = 10,071.40 × 4,761.28
  4. Step 4: Simplify right side
    6,715x = 47,952,755.39
  5. Step 5: Solve for x
    x = 47,952,755.39/6,715
  6. Step 6: Final answer
    x = 7,141.14

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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.