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Finding the Fourth Proportional to 8,422.34, 12,661.20 and 7,813.40

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Solution

The fourth proportional to 8,422.34, 12,661.20 and 7,813.40 is: 11,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.34 : 12,661.20 = 7,813.40 : x
  2. Step 2: Convert to fraction form
    8,422.34/12,661.20 = 7,813.40/x
  3. Step 3: Cross multiply
    8,422.34x = 12,661.20 × 7,813.40
  4. Step 4: Simplify right side
    8,422.34x = 98,927,020.08
  5. Step 5: Solve for x
    x = 98,927,020.08/8,422.34
  6. Step 6: Final answer
    x = 11,745.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.