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Finding the Fourth Proportional to 9,902.84, 13,666.74 and 8,129.48

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Solution

The fourth proportional to 9,902.84, 13,666.74 and 8,129.48 is: 11,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.84 : 13,666.74 = 8,129.48 : x
  2. Step 2: Convert to fraction form
    9,902.84/13,666.74 = 8,129.48/x
  3. Step 3: Cross multiply
    9,902.84x = 13,666.74 × 8,129.48
  4. Step 4: Simplify right side
    9,902.84x = 111,103,489.50
  5. Step 5: Solve for x
    x = 111,103,489.50/9,902.84
  6. Step 6: Final answer
    x = 11,219.36

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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.