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Finding the Fourth Proportional to 6,286.72, 8,684.53 and 5,954.57

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Solution

The fourth proportional to 6,286.72, 8,684.53 and 5,954.57 is: 8,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.72 : 8,684.53 = 5,954.57 : x
  2. Step 2: Convert to fraction form
    6,286.72/8,684.53 = 5,954.57/x
  3. Step 3: Cross multiply
    6,286.72x = 8,684.53 × 5,954.57
  4. Step 4: Simplify right side
    6,286.72x = 51,712,681.57
  5. Step 5: Solve for x
    x = 51,712,681.57/6,286.72
  6. Step 6: Final answer
    x = 8,225.70

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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.