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Finding the Fourth Proportional to 35,780.91, 49,379.91 and 19,865.64

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Solution

The fourth proportional to 35,780.91, 49,379.91 and 19,865.64 is: 27,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.91 : 49,379.91 = 19,865.64 : x
  2. Step 2: Convert to fraction form
    35,780.91/49,379.91 = 19,865.64/x
  3. Step 3: Cross multiply
    35,780.91x = 49,379.91 × 19,865.64
  4. Step 4: Simplify right side
    35,780.91x = 980,963,515.29
  5. Step 5: Solve for x
    x = 980,963,515.29/35,780.91
  6. Step 6: Final answer
    x = 27,415.83

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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.