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Finding the Fourth Proportional to 25,190, 37,786.56 and 7,661.12

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Solution

The fourth proportional to 25,190, 37,786.56 and 7,661.12 is: 11,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190 : 37,786.56 = 7,661.12 : x
  2. Step 2: Convert to fraction form
    25,190/37,786.56 = 7,661.12/x
  3. Step 3: Cross multiply
    25,190x = 37,786.56 × 7,661.12
  4. Step 4: Simplify right side
    25,190x = 289,487,370.55
  5. Step 5: Solve for x
    x = 289,487,370.55/25,190
  6. Step 6: Final answer
    x = 11,492.15

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1.5x scale

Why These Related Problems?

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