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Finding the Fourth Proportional to 8,328.34, 12,482.52 and 3,880

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Solution

The fourth proportional to 8,328.34, 12,482.52 and 3,880 is: 5,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.34 : 12,482.52 = 3,880 : x
  2. Step 2: Convert to fraction form
    8,328.34/12,482.52 = 3,880/x
  3. Step 3: Cross multiply
    8,328.34x = 12,482.52 × 3,880
  4. Step 4: Simplify right side
    8,328.34x = 48,432,177.60
  5. Step 5: Solve for x
    x = 48,432,177.60/8,328.34
  6. Step 6: Final answer
    x = 5,815.35

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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.