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Finding the Fourth Proportional to 6,415, 9,594.70 and 3,776.22

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Solution

The fourth proportional to 6,415, 9,594.70 and 3,776.22 is: 5,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 9,594.70 = 3,776.22 : x
  2. Step 2: Convert to fraction form
    6,415/9,594.70 = 3,776.22/x
  3. Step 3: Cross multiply
    6,415x = 9,594.70 × 3,776.22
  4. Step 4: Simplify right side
    6,415x = 36,231,698.03
  5. Step 5: Solve for x
    x = 36,231,698.03/6,415
  6. Step 6: Final answer
    x = 5,647.97

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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.