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Finding the Fourth Proportional to 7,314.91, 10,978.13 and 4,197.83

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Solution

The fourth proportional to 7,314.91, 10,978.13 and 4,197.83 is: 6,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.91 : 10,978.13 = 4,197.83 : x
  2. Step 2: Convert to fraction form
    7,314.91/10,978.13 = 4,197.83/x
  3. Step 3: Cross multiply
    7,314.91x = 10,978.13 × 4,197.83
  4. Step 4: Simplify right side
    7,314.91x = 46,084,279.06
  5. Step 5: Solve for x
    x = 46,084,279.06/7,314.91
  6. Step 6: Final answer
    x = 6,300.05

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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.