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Finding the Fourth Proportional to 6,977.92, 9,620.22 and 5,978.92

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Solution

The fourth proportional to 6,977.92, 9,620.22 and 5,978.92 is: 8,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.92 : 9,620.22 = 5,978.92 : x
  2. Step 2: Convert to fraction form
    6,977.92/9,620.22 = 5,978.92/x
  3. Step 3: Cross multiply
    6,977.92x = 9,620.22 × 5,978.92
  4. Step 4: Simplify right side
    6,977.92x = 57,518,525.76
  5. Step 5: Solve for x
    x = 57,518,525.76/6,977.92
  6. Step 6: Final answer
    x = 8,242.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.