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Finding the Fourth Proportional to 7,319.19, 10,978.81 and 1,772.52

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Solution

The fourth proportional to 7,319.19, 10,978.81 and 1,772.52 is: 2,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.19 : 10,978.81 = 1,772.52 : x
  2. Step 2: Convert to fraction form
    7,319.19/10,978.81 = 1,772.52/x
  3. Step 3: Cross multiply
    7,319.19x = 10,978.81 × 1,772.52
  4. Step 4: Simplify right side
    7,319.19x = 19,460,160.30
  5. Step 5: Solve for x
    x = 19,460,160.30/7,319.19
  6. Step 6: Final answer
    x = 2,658.79

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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.