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Finding the Fourth Proportional to 9,182.71, 12,671.87 and 5,205.11

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Solution

The fourth proportional to 9,182.71, 12,671.87 and 5,205.11 is: 7,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.71 : 12,671.87 = 5,205.11 : x
  2. Step 2: Convert to fraction form
    9,182.71/12,671.87 = 5,205.11/x
  3. Step 3: Cross multiply
    9,182.71x = 12,671.87 × 5,205.11
  4. Step 4: Simplify right side
    9,182.71x = 65,958,477.26
  5. Step 5: Solve for x
    x = 65,958,477.26/9,182.71
  6. Step 6: Final answer
    x = 7,182.90

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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.