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Finding the Fourth Proportional to 6,447.42, 8,895.62 and 4,057.71

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Solution

The fourth proportional to 6,447.42, 8,895.62 and 4,057.71 is: 5,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.42 : 8,895.62 = 4,057.71 : x
  2. Step 2: Convert to fraction form
    6,447.42/8,895.62 = 4,057.71/x
  3. Step 3: Cross multiply
    6,447.42x = 8,895.62 × 4,057.71
  4. Step 4: Simplify right side
    6,447.42x = 36,095,825.94
  5. Step 5: Solve for x
    x = 36,095,825.94/6,447.42
  6. Step 6: Final answer
    x = 5,598.49

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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.