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Finding the Fourth Proportional to 9,622, 13,281.06 and 6,441.40

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Solution

The fourth proportional to 9,622, 13,281.06 and 6,441.40 is: 8,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 13,281.06 = 6,441.40 : x
  2. Step 2: Convert to fraction form
    9,622/13,281.06 = 6,441.40/x
  3. Step 3: Cross multiply
    9,622x = 13,281.06 × 6,441.40
  4. Step 4: Simplify right side
    9,622x = 85,548,619.88
  5. Step 5: Solve for x
    x = 85,548,619.88/9,622
  6. Step 6: Final answer
    x = 8,890.94

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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.