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Finding the Fourth Proportional to 11,814.60, 16,290.60 and 8,825.40

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Solution

The fourth proportional to 11,814.60, 16,290.60 and 8,825.40 is: 12,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.60 : 16,290.60 = 8,825.40 : x
  2. Step 2: Convert to fraction form
    11,814.60/16,290.60 = 8,825.40/x
  3. Step 3: Cross multiply
    11,814.60x = 16,290.60 × 8,825.40
  4. Step 4: Simplify right side
    11,814.60x = 143,771,061.24
  5. Step 5: Solve for x
    x = 143,771,061.24/11,814.60
  6. Step 6: Final answer
    x = 12,168.93

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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.