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Finding the Fourth Proportional to 37,409, 51,624.42 and 20,642

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Solution

The fourth proportional to 37,409, 51,624.42 and 20,642 is: 28,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409 : 51,624.42 = 20,642 : x
  2. Step 2: Convert to fraction form
    37,409/51,624.42 = 20,642/x
  3. Step 3: Cross multiply
    37,409x = 51,624.42 × 20,642
  4. Step 4: Simplify right side
    37,409x = 1,065,631,277.64
  5. Step 5: Solve for x
    x = 1,065,631,277.64/37,409
  6. Step 6: Final answer
    x = 28,485.96

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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.