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Finding the Fourth Proportional to 7,765.46, 11,637.81 and 2,830.46

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Solution

The fourth proportional to 7,765.46, 11,637.81 and 2,830.46 is: 4,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.46 : 11,637.81 = 2,830.46 : x
  2. Step 2: Convert to fraction form
    7,765.46/11,637.81 = 2,830.46/x
  3. Step 3: Cross multiply
    7,765.46x = 11,637.81 × 2,830.46
  4. Step 4: Simplify right side
    7,765.46x = 32,940,355.69
  5. Step 5: Solve for x
    x = 32,940,355.69/7,765.46
  6. Step 6: Final answer
    x = 4,241.91

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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.