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Finding the Fourth Proportional to 26,505.71, 39,748.83 and 7,780.94

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Solution

The fourth proportional to 26,505.71, 39,748.83 and 7,780.94 is: 11,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.71 : 39,748.83 = 7,780.94 : x
  2. Step 2: Convert to fraction form
    26,505.71/39,748.83 = 7,780.94/x
  3. Step 3: Cross multiply
    26,505.71x = 39,748.83 × 7,780.94
  4. Step 4: Simplify right side
    26,505.71x = 309,283,062.56
  5. Step 5: Solve for x
    x = 309,283,062.56/26,505.71
  6. Step 6: Final answer
    x = 11,668.55

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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.