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Finding the Fourth Proportional to 25,153.78, 37,730.64 and 6,685.78

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Solution

The fourth proportional to 25,153.78, 37,730.64 and 6,685.78 is: 10,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.78 : 37,730.64 = 6,685.78 : x
  2. Step 2: Convert to fraction form
    25,153.78/37,730.64 = 6,685.78/x
  3. Step 3: Cross multiply
    25,153.78x = 37,730.64 × 6,685.78
  4. Step 4: Simplify right side
    25,153.78x = 252,258,758.30
  5. Step 5: Solve for x
    x = 252,258,758.30/25,153.78
  6. Step 6: Final answer
    x = 10,028.66

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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.