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Finding the Fourth Proportional to 6,308.79, 8,706 and 3,952.23

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Solution

The fourth proportional to 6,308.79, 8,706 and 3,952.23 is: 5,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.79 : 8,706 = 3,952.23 : x
  2. Step 2: Convert to fraction form
    6,308.79/8,706 = 3,952.23/x
  3. Step 3: Cross multiply
    6,308.79x = 8,706 × 3,952.23
  4. Step 4: Simplify right side
    6,308.79x = 34,408,114.38
  5. Step 5: Solve for x
    x = 34,408,114.38/6,308.79
  6. Step 6: Final answer
    x = 5,454.00

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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.