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Finding the Fourth Proportional to 6,464.64, 9,695.68 and 1,783.44

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Solution

The fourth proportional to 6,464.64, 9,695.68 and 1,783.44 is: 2,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.64 : 9,695.68 = 1,783.44 : x
  2. Step 2: Convert to fraction form
    6,464.64/9,695.68 = 1,783.44/x
  3. Step 3: Cross multiply
    6,464.64x = 9,695.68 × 1,783.44
  4. Step 4: Simplify right side
    6,464.64x = 17,291,663.54
  5. Step 5: Solve for x
    x = 17,291,663.54/6,464.64
  6. Step 6: Final answer
    x = 2,674.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.