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Finding the Fourth Proportional to 6,697.06, 9,243.04 and 6,401.78

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Solution

The fourth proportional to 6,697.06, 9,243.04 and 6,401.78 is: 8,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.06 : 9,243.04 = 6,401.78 : x
  2. Step 2: Convert to fraction form
    6,697.06/9,243.04 = 6,401.78/x
  3. Step 3: Cross multiply
    6,697.06x = 9,243.04 × 6,401.78
  4. Step 4: Simplify right side
    6,697.06x = 59,171,908.61
  5. Step 5: Solve for x
    x = 59,171,908.61/6,697.06
  6. Step 6: Final answer
    x = 8,835.51

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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.