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Finding the Fourth Proportional to 7,978.74, 11,014.68 and 6,182.22

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Solution

The fourth proportional to 7,978.74, 11,014.68 and 6,182.22 is: 8,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.74 : 11,014.68 = 6,182.22 : x
  2. Step 2: Convert to fraction form
    7,978.74/11,014.68 = 6,182.22/x
  3. Step 3: Cross multiply
    7,978.74x = 11,014.68 × 6,182.22
  4. Step 4: Simplify right side
    7,978.74x = 68,095,174.99
  5. Step 5: Solve for x
    x = 68,095,174.99/7,978.74
  6. Step 6: Final answer
    x = 8,534.58

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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.