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Finding the Fourth Proportional to 43,814.40, 65,723.72 and 12,224.40

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Solution

The fourth proportional to 43,814.40, 65,723.72 and 12,224.40 is: 18,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.40 : 65,723.72 = 12,224.40 : x
  2. Step 2: Convert to fraction form
    43,814.40/65,723.72 = 12,224.40/x
  3. Step 3: Cross multiply
    43,814.40x = 65,723.72 × 12,224.40
  4. Step 4: Simplify right side
    43,814.40x = 803,433,042.77
  5. Step 5: Solve for x
    x = 803,433,042.77/43,814.40
  6. Step 6: Final answer
    x = 18,337.19

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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.