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Finding the Fourth Proportional to 9,915.96, 13,686.40 and 6,734.55

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Solution

The fourth proportional to 9,915.96, 13,686.40 and 6,734.55 is: 9,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.96 : 13,686.40 = 6,734.55 : x
  2. Step 2: Convert to fraction form
    9,915.96/13,686.40 = 6,734.55/x
  3. Step 3: Cross multiply
    9,915.96x = 13,686.40 × 6,734.55
  4. Step 4: Simplify right side
    9,915.96x = 92,171,745.12
  5. Step 5: Solve for x
    x = 92,171,745.12/9,915.96
  6. Step 6: Final answer
    x = 9,295.30

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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.