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Finding the Fourth Proportional to 8,502, 12,758.40 and 3,885.12

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Solution

The fourth proportional to 8,502, 12,758.40 and 3,885.12 is: 5,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 12,758.40 = 3,885.12 : x
  2. Step 2: Convert to fraction form
    8,502/12,758.40 = 3,885.12/x
  3. Step 3: Cross multiply
    8,502x = 12,758.40 × 3,885.12
  4. Step 4: Simplify right side
    8,502x = 49,567,915.01
  5. Step 5: Solve for x
    x = 49,567,915.01/8,502
  6. Step 6: Final answer
    x = 5,830.15

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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.