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Finding the Fourth Proportional to 5,131.04, 7,698 and 2,358.56

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Solution

The fourth proportional to 5,131.04, 7,698 and 2,358.56 is: 3,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.04 : 7,698 = 2,358.56 : x
  2. Step 2: Convert to fraction form
    5,131.04/7,698 = 2,358.56/x
  3. Step 3: Cross multiply
    5,131.04x = 7,698 × 2,358.56
  4. Step 4: Simplify right side
    5,131.04x = 18,156,194.88
  5. Step 5: Solve for x
    x = 18,156,194.88/5,131.04
  6. Step 6: Final answer
    x = 3,538.50

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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.