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Finding the Fourth Proportional to 8,215.58, 11,308.98 and 7,165.82

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Solution

The fourth proportional to 8,215.58, 11,308.98 and 7,165.82 is: 9,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.58 : 11,308.98 = 7,165.82 : x
  2. Step 2: Convert to fraction form
    8,215.58/11,308.98 = 7,165.82/x
  3. Step 3: Cross multiply
    8,215.58x = 11,308.98 × 7,165.82
  4. Step 4: Simplify right side
    8,215.58x = 81,038,115.06
  5. Step 5: Solve for x
    x = 81,038,115.06/8,215.58
  6. Step 6: Final answer
    x = 9,863.96

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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.