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Finding the Fourth Proportional to 7,669.92, 11,490.22 and 6,428.46

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Solution

The fourth proportional to 7,669.92, 11,490.22 and 6,428.46 is: 9,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.92 : 11,490.22 = 6,428.46 : x
  2. Step 2: Convert to fraction form
    7,669.92/11,490.22 = 6,428.46/x
  3. Step 3: Cross multiply
    7,669.92x = 11,490.22 × 6,428.46
  4. Step 4: Simplify right side
    7,669.92x = 73,864,387.52
  5. Step 5: Solve for x
    x = 73,864,387.52/7,669.92
  6. Step 6: Final answer
    x = 9,630.40

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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.