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Finding the Fourth Proportional to 5,702.49, 7,867.67 and 3,938.49

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Solution

The fourth proportional to 5,702.49, 7,867.67 and 3,938.49 is: 5,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.49 : 7,867.67 = 3,938.49 : x
  2. Step 2: Convert to fraction form
    5,702.49/7,867.67 = 3,938.49/x
  3. Step 3: Cross multiply
    5,702.49x = 7,867.67 × 3,938.49
  4. Step 4: Simplify right side
    5,702.49x = 30,986,719.93
  5. Step 5: Solve for x
    x = 30,986,719.93/5,702.49
  6. Step 6: Final answer
    x = 5,433.89

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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.