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Finding the Fourth Proportional to 6,384.61, 9,578.13 and 3,099.25

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Solution

The fourth proportional to 6,384.61, 9,578.13 and 3,099.25 is: 4,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.61 : 9,578.13 = 3,099.25 : x
  2. Step 2: Convert to fraction form
    6,384.61/9,578.13 = 3,099.25/x
  3. Step 3: Cross multiply
    6,384.61x = 9,578.13 × 3,099.25
  4. Step 4: Simplify right side
    6,384.61x = 29,685,019.40
  5. Step 5: Solve for x
    x = 29,685,019.40/6,384.61
  6. Step 6: Final answer
    x = 4,649.46

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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.