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Finding the Fourth Proportional to 7,809.96, 11,706.60 and 3,645.12

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Solution

The fourth proportional to 7,809.96, 11,706.60 and 3,645.12 is: 5,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.96 : 11,706.60 = 3,645.12 : x
  2. Step 2: Convert to fraction form
    7,809.96/11,706.60 = 3,645.12/x
  3. Step 3: Cross multiply
    7,809.96x = 11,706.60 × 3,645.12
  4. Step 4: Simplify right side
    7,809.96x = 42,671,961.79
  5. Step 5: Solve for x
    x = 42,671,961.79/7,809.96
  6. Step 6: Final answer
    x = 5,463.79

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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.