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Finding the Fourth Proportional to 12,152.70, 16,771.05 and 6,847.20

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Solution

The fourth proportional to 12,152.70, 16,771.05 and 6,847.20 is: 9,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.70 : 16,771.05 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    12,152.70/16,771.05 = 6,847.20/x
  3. Step 3: Cross multiply
    12,152.70x = 16,771.05 × 6,847.20
  4. Step 4: Simplify right side
    12,152.70x = 114,834,733.56
  5. Step 5: Solve for x
    x = 114,834,733.56/12,152.70
  6. Step 6: Final answer
    x = 9,449.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.