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Finding the Fourth Proportional to 25,170.50, 37,763.98 and 7,640.34

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Solution

The fourth proportional to 25,170.50, 37,763.98 and 7,640.34 is: 11,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170.50 : 37,763.98 = 7,640.34 : x
  2. Step 2: Convert to fraction form
    25,170.50/37,763.98 = 7,640.34/x
  3. Step 3: Cross multiply
    25,170.50x = 37,763.98 × 7,640.34
  4. Step 4: Simplify right side
    25,170.50x = 288,529,646.95
  5. Step 5: Solve for x
    x = 288,529,646.95/25,170.50
  6. Step 6: Final answer
    x = 11,463.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.