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Finding the Fourth Proportional to 6,659.77, 9,978.64 and 5,972.98

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Solution

The fourth proportional to 6,659.77, 9,978.64 and 5,972.98 is: 8,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.77 : 9,978.64 = 5,972.98 : x
  2. Step 2: Convert to fraction form
    6,659.77/9,978.64 = 5,972.98/x
  3. Step 3: Cross multiply
    6,659.77x = 9,978.64 × 5,972.98
  4. Step 4: Simplify right side
    6,659.77x = 59,602,217.15
  5. Step 5: Solve for x
    x = 59,602,217.15/6,659.77
  6. Step 6: Final answer
    x = 8,949.59

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1.5x scale

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.