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Finding the Fourth Proportional to 6,388.80, 9,584.55 and 1,946.10

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Solution

The fourth proportional to 6,388.80, 9,584.55 and 1,946.10 is: 2,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.80 : 9,584.55 = 1,946.10 : x
  2. Step 2: Convert to fraction form
    6,388.80/9,584.55 = 1,946.10/x
  3. Step 3: Cross multiply
    6,388.80x = 9,584.55 × 1,946.10
  4. Step 4: Simplify right side
    6,388.80x = 18,652,492.76
  5. Step 5: Solve for x
    x = 18,652,492.76/6,388.80
  6. Step 6: Final answer
    x = 2,919.56

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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.