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Finding the Fourth Proportional to 6,409, 8,844.42 and 3,465

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Solution

The fourth proportional to 6,409, 8,844.42 and 3,465 is: 4,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 8,844.42 = 3,465 : x
  2. Step 2: Convert to fraction form
    6,409/8,844.42 = 3,465/x
  3. Step 3: Cross multiply
    6,409x = 8,844.42 × 3,465
  4. Step 4: Simplify right side
    6,409x = 30,645,915.30
  5. Step 5: Solve for x
    x = 30,645,915.30/6,409
  6. Step 6: Final answer
    x = 4,781.70

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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.