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Finding the Fourth Proportional to 50,491.02, 69,678 and 27,830.82

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Solution

The fourth proportional to 50,491.02, 69,678 and 27,830.82 is: 38,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.02 : 69,678 = 27,830.82 : x
  2. Step 2: Convert to fraction form
    50,491.02/69,678 = 27,830.82/x
  3. Step 3: Cross multiply
    50,491.02x = 69,678 × 27,830.82
  4. Step 4: Simplify right side
    50,491.02x = 1,939,195,875.96
  5. Step 5: Solve for x
    x = 1,939,195,875.96/50,491.02
  6. Step 6: Final answer
    x = 38,406.75

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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.