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Finding the Fourth Proportional to 6,464.93, 8,922.42 and 3,812.58

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Solution

The fourth proportional to 6,464.93, 8,922.42 and 3,812.58 is: 5,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.93 : 8,922.42 = 3,812.58 : x
  2. Step 2: Convert to fraction form
    6,464.93/8,922.42 = 3,812.58/x
  3. Step 3: Cross multiply
    6,464.93x = 8,922.42 × 3,812.58
  4. Step 4: Simplify right side
    6,464.93x = 34,017,440.04
  5. Step 5: Solve for x
    x = 34,017,440.04/6,464.93
  6. Step 6: Final answer
    x = 5,261.85

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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.