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Finding the Fourth Proportional to 37,409.50, 51,625.11 and 20,642.50

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Solution

The fourth proportional to 37,409.50, 51,625.11 and 20,642.50 is: 28,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.50 : 51,625.11 = 20,642.50 : x
  2. Step 2: Convert to fraction form
    37,409.50/51,625.11 = 20,642.50/x
  3. Step 3: Cross multiply
    37,409.50x = 51,625.11 × 20,642.50
  4. Step 4: Simplify right side
    37,409.50x = 1,065,671,333.18
  5. Step 5: Solve for x
    x = 1,065,671,333.18/37,409.50
  6. Step 6: Final answer
    x = 28,486.65

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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.