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Finding the Fourth Proportional to 6,464.76, 8,921.36 and 3,670.28

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Solution

The fourth proportional to 6,464.76, 8,921.36 and 3,670.28 is: 5,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.76 : 8,921.36 = 3,670.28 : x
  2. Step 2: Convert to fraction form
    6,464.76/8,921.36 = 3,670.28/x
  3. Step 3: Cross multiply
    6,464.76x = 8,921.36 × 3,670.28
  4. Step 4: Simplify right side
    6,464.76x = 32,743,889.18
  5. Step 5: Solve for x
    x = 32,743,889.18/6,464.76
  6. Step 6: Final answer
    x = 5,064.98

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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.