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Finding the Fourth Proportional to 8,453, 12,680.40 and 2,904.80

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Solution

The fourth proportional to 8,453, 12,680.40 and 2,904.80 is: 4,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453 : 12,680.40 = 2,904.80 : x
  2. Step 2: Convert to fraction form
    8,453/12,680.40 = 2,904.80/x
  3. Step 3: Cross multiply
    8,453x = 12,680.40 × 2,904.80
  4. Step 4: Simplify right side
    8,453x = 36,834,025.92
  5. Step 5: Solve for x
    x = 36,834,025.92/8,453
  6. Step 6: Final answer
    x = 4,357.51

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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.