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Finding the Fourth Proportional to 6,823.64, 10,181.95 and 6,405.68

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Solution

The fourth proportional to 6,823.64, 10,181.95 and 6,405.68 is: 9,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.64 : 10,181.95 = 6,405.68 : x
  2. Step 2: Convert to fraction form
    6,823.64/10,181.95 = 6,405.68/x
  3. Step 3: Cross multiply
    6,823.64x = 10,181.95 × 6,405.68
  4. Step 4: Simplify right side
    6,823.64x = 65,222,358.95
  5. Step 5: Solve for x
    x = 65,222,358.95/6,823.64
  6. Step 6: Final answer
    x = 9,558.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.