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Finding the Fourth Proportional to 6,464.55, 8,921.91 and 3,812.22

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Solution

The fourth proportional to 6,464.55, 8,921.91 and 3,812.22 is: 5,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.55 : 8,921.91 = 3,812.22 : x
  2. Step 2: Convert to fraction form
    6,464.55/8,921.91 = 3,812.22/x
  3. Step 3: Cross multiply
    6,464.55x = 8,921.91 × 3,812.22
  4. Step 4: Simplify right side
    6,464.55x = 34,012,283.74
  5. Step 5: Solve for x
    x = 34,012,283.74/6,464.55
  6. Step 6: Final answer
    x = 5,261.35

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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.