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Finding the Fourth Proportional to 11,671.75, 16,107.02 and 7,480

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Solution

The fourth proportional to 11,671.75, 16,107.02 and 7,480 is: 10,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.75 : 16,107.02 = 7,480 : x
  2. Step 2: Convert to fraction form
    11,671.75/16,107.02 = 7,480/x
  3. Step 3: Cross multiply
    11,671.75x = 16,107.02 × 7,480
  4. Step 4: Simplify right side
    11,671.75x = 120,480,509.60
  5. Step 5: Solve for x
    x = 120,480,509.60/11,671.75
  6. Step 6: Final answer
    x = 10,322.40

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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.