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Finding the Fourth Proportional to 25,683.58, 38,529 and 7,915.68

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Solution

The fourth proportional to 25,683.58, 38,529 and 7,915.68 is: 11,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.58 : 38,529 = 7,915.68 : x
  2. Step 2: Convert to fraction form
    25,683.58/38,529 = 7,915.68/x
  3. Step 3: Cross multiply
    25,683.58x = 38,529 × 7,915.68
  4. Step 4: Simplify right side
    25,683.58x = 304,983,234.72
  5. Step 5: Solve for x
    x = 304,983,234.72/25,683.58
  6. Step 6: Final answer
    x = 11,874.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.