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Finding the Fourth Proportional to 9,811.80, 14,717.70 and 7,622.10

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Solution

The fourth proportional to 9,811.80, 14,717.70 and 7,622.10 is: 11,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.80 : 14,717.70 = 7,622.10 : x
  2. Step 2: Convert to fraction form
    9,811.80/14,717.70 = 7,622.10/x
  3. Step 3: Cross multiply
    9,811.80x = 14,717.70 × 7,622.10
  4. Step 4: Simplify right side
    9,811.80x = 112,179,781.17
  5. Step 5: Solve for x
    x = 112,179,781.17/9,811.80
  6. Step 6: Final answer
    x = 11,433.15

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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.