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Finding the Fourth Proportional to 9,902.14, 13,671.29 and 8,838.07

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Solution

The fourth proportional to 9,902.14, 13,671.29 and 8,838.07 is: 12,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.14 : 13,671.29 = 8,838.07 : x
  2. Step 2: Convert to fraction form
    9,902.14/13,671.29 = 8,838.07/x
  3. Step 3: Cross multiply
    9,902.14x = 13,671.29 × 8,838.07
  4. Step 4: Simplify right side
    9,902.14x = 120,827,818.01
  5. Step 5: Solve for x
    x = 120,827,818.01/9,902.14
  6. Step 6: Final answer
    x = 12,202.19

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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.