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Finding the Fourth Proportional to 8,583.20, 12,874.80 and 7,719.20

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Solution

The fourth proportional to 8,583.20, 12,874.80 and 7,719.20 is: 11,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.20 : 12,874.80 = 7,719.20 : x
  2. Step 2: Convert to fraction form
    8,583.20/12,874.80 = 7,719.20/x
  3. Step 3: Cross multiply
    8,583.20x = 12,874.80 × 7,719.20
  4. Step 4: Simplify right side
    8,583.20x = 99,383,156.16
  5. Step 5: Solve for x
    x = 99,383,156.16/8,583.20
  6. Step 6: Final answer
    x = 11,578.80

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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.