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Finding the Fourth Proportional to 3,989.59, 5,502.49 and 3,464.71

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Solution

The fourth proportional to 3,989.59, 5,502.49 and 3,464.71 is: 4,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.59 : 5,502.49 = 3,464.71 : x
  2. Step 2: Convert to fraction form
    3,989.59/5,502.49 = 3,464.71/x
  3. Step 3: Cross multiply
    3,989.59x = 5,502.49 × 3,464.71
  4. Step 4: Simplify right side
    3,989.59x = 19,064,509.71
  5. Step 5: Solve for x
    x = 19,064,509.71/3,989.59
  6. Step 6: Final answer
    x = 4,778.57

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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.