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Finding the Fourth Proportional to 25,155, 37,738.34 and 7,384.95

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Solution

The fourth proportional to 25,155, 37,738.34 and 7,384.95 is: 11,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,155 : 37,738.34 = 7,384.95 : x
  2. Step 2: Convert to fraction form
    25,155/37,738.34 = 7,384.95/x
  3. Step 3: Cross multiply
    25,155x = 37,738.34 × 7,384.95
  4. Step 4: Simplify right side
    25,155x = 278,695,717.06
  5. Step 5: Solve for x
    x = 278,695,717.06/25,155
  6. Step 6: Final answer
    x = 11,079.14

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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.