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Finding the Fourth Proportional to 7,705.92, 10,635.36 and 4,918.08

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Solution

The fourth proportional to 7,705.92, 10,635.36 and 4,918.08 is: 6,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.92 : 10,635.36 = 4,918.08 : x
  2. Step 2: Convert to fraction form
    7,705.92/10,635.36 = 4,918.08/x
  3. Step 3: Cross multiply
    7,705.92x = 10,635.36 × 4,918.08
  4. Step 4: Simplify right side
    7,705.92x = 52,305,551.31
  5. Step 5: Solve for x
    x = 52,305,551.31/7,705.92
  6. Step 6: Final answer
    x = 6,787.71

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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.