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Finding the Fourth Proportional to 7,129.58, 10,696.18 and 2,968.20

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Solution

The fourth proportional to 7,129.58, 10,696.18 and 2,968.20 is: 4,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.58 : 10,696.18 = 2,968.20 : x
  2. Step 2: Convert to fraction form
    7,129.58/10,696.18 = 2,968.20/x
  3. Step 3: Cross multiply
    7,129.58x = 10,696.18 × 2,968.20
  4. Step 4: Simplify right side
    7,129.58x = 31,748,394.06
  5. Step 5: Solve for x
    x = 31,748,394.06/7,129.58
  6. Step 6: Final answer
    x = 4,453.06

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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.