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Finding the Fourth Proportional to 9,622.80, 13,267.80 and 6,633.90

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Solution

The fourth proportional to 9,622.80, 13,267.80 and 6,633.90 is: 9,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.80 : 13,267.80 = 6,633.90 : x
  2. Step 2: Convert to fraction form
    9,622.80/13,267.80 = 6,633.90/x
  3. Step 3: Cross multiply
    9,622.80x = 13,267.80 × 6,633.90
  4. Step 4: Simplify right side
    9,622.80x = 88,017,258.42
  5. Step 5: Solve for x
    x = 88,017,258.42/9,622.80
  6. Step 6: Final answer
    x = 9,146.74

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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.