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Finding the Fourth Proportional to 6,464.44, 8,917.62 and 5,578.69

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Solution

The fourth proportional to 6,464.44, 8,917.62 and 5,578.69 is: 7,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.44 : 8,917.62 = 5,578.69 : x
  2. Step 2: Convert to fraction form
    6,464.44/8,917.62 = 5,578.69/x
  3. Step 3: Cross multiply
    6,464.44x = 8,917.62 × 5,578.69
  4. Step 4: Simplify right side
    6,464.44x = 49,748,637.52
  5. Step 5: Solve for x
    x = 49,748,637.52/6,464.44
  6. Step 6: Final answer
    x = 7,695.74

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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.