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Finding the Fourth Proportional to 9,902.72, 13,666.58 and 8,129.36

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Solution

The fourth proportional to 9,902.72, 13,666.58 and 8,129.36 is: 11,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.72 : 13,666.58 = 8,129.36 : x
  2. Step 2: Convert to fraction form
    9,902.72/13,666.58 = 8,129.36/x
  3. Step 3: Cross multiply
    9,902.72x = 13,666.58 × 8,129.36
  4. Step 4: Simplify right side
    9,902.72x = 111,100,439.81
  5. Step 5: Solve for x
    x = 111,100,439.81/9,902.72
  6. Step 6: Final answer
    x = 11,219.19

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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.