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Finding the Fourth Proportional to 6,385.81, 9,578.71 and 2,003.61

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Solution

The fourth proportional to 6,385.81, 9,578.71 and 2,003.61 is: 3,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.81 : 9,578.71 = 2,003.61 : x
  2. Step 2: Convert to fraction form
    6,385.81/9,578.71 = 2,003.61/x
  3. Step 3: Cross multiply
    6,385.81x = 9,578.71 × 2,003.61
  4. Step 4: Simplify right side
    6,385.81x = 19,191,994.13
  5. Step 5: Solve for x
    x = 19,191,994.13/6,385.81
  6. Step 6: Final answer
    x = 3,005.41

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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.