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Finding the Fourth Proportional to 6,410.64, 8,846.43 and 3,578.16

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Solution

The fourth proportional to 6,410.64, 8,846.43 and 3,578.16 is: 4,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.64 : 8,846.43 = 3,578.16 : x
  2. Step 2: Convert to fraction form
    6,410.64/8,846.43 = 3,578.16/x
  3. Step 3: Cross multiply
    6,410.64x = 8,846.43 × 3,578.16
  4. Step 4: Simplify right side
    6,410.64x = 31,653,941.97
  5. Step 5: Solve for x
    x = 31,653,941.97/6,410.64
  6. Step 6: Final answer
    x = 4,937.72

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1.5x scale

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.