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Finding the Fourth Proportional to 37,666.50, 51,981.39 and 20,899.50

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Solution

The fourth proportional to 37,666.50, 51,981.39 and 20,899.50 is: 28,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.50 : 51,981.39 = 20,899.50 : x
  2. Step 2: Convert to fraction form
    37,666.50/51,981.39 = 20,899.50/x
  3. Step 3: Cross multiply
    37,666.50x = 51,981.39 × 20,899.50
  4. Step 4: Simplify right side
    37,666.50x = 1,086,385,060.31
  5. Step 5: Solve for x
    x = 1,086,385,060.31/37,666.50
  6. Step 6: Final answer
    x = 28,842.21

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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.