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Finding the Fourth Proportional to 10,101.84, 13,936.84 and 6,120.08

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Solution

The fourth proportional to 10,101.84, 13,936.84 and 6,120.08 is: 8,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.84 : 13,936.84 = 6,120.08 : x
  2. Step 2: Convert to fraction form
    10,101.84/13,936.84 = 6,120.08/x
  3. Step 3: Cross multiply
    10,101.84x = 13,936.84 × 6,120.08
  4. Step 4: Simplify right side
    10,101.84x = 85,294,575.75
  5. Step 5: Solve for x
    x = 85,294,575.75/10,101.84
  6. Step 6: Final answer
    x = 8,443.47

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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.