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Finding the Fourth Proportional to 25,189, 37,785.06 and 7,660.12

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Solution

The fourth proportional to 25,189, 37,785.06 and 7,660.12 is: 11,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189 : 37,785.06 = 7,660.12 : x
  2. Step 2: Convert to fraction form
    25,189/37,785.06 = 7,660.12/x
  3. Step 3: Cross multiply
    25,189x = 37,785.06 × 7,660.12
  4. Step 4: Simplify right side
    25,189x = 289,438,093.81
  5. Step 5: Solve for x
    x = 289,438,093.81/25,189
  6. Step 6: Final answer
    x = 11,490.65

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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.