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Finding the Fourth Proportional to 5,624.94, 7,765.74 and 3,859.14

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Solution

The fourth proportional to 5,624.94, 7,765.74 and 3,859.14 is: 5,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.94 : 7,765.74 = 3,859.14 : x
  2. Step 2: Convert to fraction form
    5,624.94/7,765.74 = 3,859.14/x
  3. Step 3: Cross multiply
    5,624.94x = 7,765.74 × 3,859.14
  4. Step 4: Simplify right side
    5,624.94x = 29,969,077.86
  5. Step 5: Solve for x
    x = 29,969,077.86/5,624.94
  6. Step 6: Final answer
    x = 5,327.89

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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.