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Finding the Fourth Proportional to 6,915.64, 9,540.88 and 4,258.44

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Solution

The fourth proportional to 6,915.64, 9,540.88 and 4,258.44 is: 5,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.64 : 9,540.88 = 4,258.44 : x
  2. Step 2: Convert to fraction form
    6,915.64/9,540.88 = 4,258.44/x
  3. Step 3: Cross multiply
    6,915.64x = 9,540.88 × 4,258.44
  4. Step 4: Simplify right side
    6,915.64x = 40,629,265.03
  5. Step 5: Solve for x
    x = 40,629,265.03/6,915.64
  6. Step 6: Final answer
    x = 5,874.98

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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.