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Finding the Fourth Proportional to 6,989.67, 9,644.16 and 5,102.28

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Solution

The fourth proportional to 6,989.67, 9,644.16 and 5,102.28 is: 7,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.67 : 9,644.16 = 5,102.28 : x
  2. Step 2: Convert to fraction form
    6,989.67/9,644.16 = 5,102.28/x
  3. Step 3: Cross multiply
    6,989.67x = 9,644.16 × 5,102.28
  4. Step 4: Simplify right side
    6,989.67x = 49,207,177.97
  5. Step 5: Solve for x
    x = 49,207,177.97/6,989.67
  6. Step 6: Final answer
    x = 7,039.99

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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.