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Finding the Fourth Proportional to 8,189.28, 12,272.94 and 7,664.40

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Solution

The fourth proportional to 8,189.28, 12,272.94 and 7,664.40 is: 11,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.28 : 12,272.94 = 7,664.40 : x
  2. Step 2: Convert to fraction form
    8,189.28/12,272.94 = 7,664.40/x
  3. Step 3: Cross multiply
    8,189.28x = 12,272.94 × 7,664.40
  4. Step 4: Simplify right side
    8,189.28x = 94,064,721.34
  5. Step 5: Solve for x
    x = 94,064,721.34/8,189.28
  6. Step 6: Final answer
    x = 11,486.32

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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.