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Finding the Fourth Proportional to 43,213.50, 64,715.76 and 20,971.71

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Solution

The fourth proportional to 43,213.50, 64,715.76 and 20,971.71 is: 31,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213.50 : 64,715.76 = 20,971.71 : x
  2. Step 2: Convert to fraction form
    43,213.50/64,715.76 = 20,971.71/x
  3. Step 3: Cross multiply
    43,213.50x = 64,715.76 × 20,971.71
  4. Step 4: Simplify right side
    43,213.50x = 1,357,200,151.15
  5. Step 5: Solve for x
    x = 1,357,200,151.15/43,213.50
  6. Step 6: Final answer
    x = 31,406.86

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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.