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Finding the Fourth Proportional to 8,434.58, 11,622.21 and 7,171.22

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Solution

The fourth proportional to 8,434.58, 11,622.21 and 7,171.22 is: 9,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.58 : 11,622.21 = 7,171.22 : x
  2. Step 2: Convert to fraction form
    8,434.58/11,622.21 = 7,171.22/x
  3. Step 3: Cross multiply
    8,434.58x = 11,622.21 × 7,171.22
  4. Step 4: Simplify right side
    8,434.58x = 83,345,424.80
  5. Step 5: Solve for x
    x = 83,345,424.80/8,434.58
  6. Step 6: Final answer
    x = 9,881.40

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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.