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Finding the Fourth Proportional to 25,171, 37,756.74 and 7,640.84

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Solution

The fourth proportional to 25,171, 37,756.74 and 7,640.84 is: 11,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171 : 37,756.74 = 7,640.84 : x
  2. Step 2: Convert to fraction form
    25,171/37,756.74 = 7,640.84/x
  3. Step 3: Cross multiply
    25,171x = 37,756.74 × 7,640.84
  4. Step 4: Simplify right side
    25,171x = 288,493,209.26
  5. Step 5: Solve for x
    x = 288,493,209.26/25,171
  6. Step 6: Final answer
    x = 11,461.33

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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.