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Finding the Fourth Proportional to 6,915.90, 9,541.22 and 4,258.70

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Solution

The fourth proportional to 6,915.90, 9,541.22 and 4,258.70 is: 5,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.90 : 9,541.22 = 4,258.70 : x
  2. Step 2: Convert to fraction form
    6,915.90/9,541.22 = 4,258.70/x
  3. Step 3: Cross multiply
    6,915.90x = 9,541.22 × 4,258.70
  4. Step 4: Simplify right side
    6,915.90x = 40,633,193.61
  5. Step 5: Solve for x
    x = 40,633,193.61/6,915.90
  6. Step 6: Final answer
    x = 5,875.33

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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.