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Finding the Fourth Proportional to 9,902.28, 13,662.74 and 5,486.28

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Solution

The fourth proportional to 9,902.28, 13,662.74 and 5,486.28 is: 7,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.28 : 13,662.74 = 5,486.28 : x
  2. Step 2: Convert to fraction form
    9,902.28/13,662.74 = 5,486.28/x
  3. Step 3: Cross multiply
    9,902.28x = 13,662.74 × 5,486.28
  4. Step 4: Simplify right side
    9,902.28x = 74,957,617.21
  5. Step 5: Solve for x
    x = 74,957,617.21/9,902.28
  6. Step 6: Final answer
    x = 7,569.73

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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.