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Finding the Fourth Proportional to 25,209.41, 37,819.58 and 7,678.77

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Solution

The fourth proportional to 25,209.41, 37,819.58 and 7,678.77 is: 11,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209.41 : 37,819.58 = 7,678.77 : x
  2. Step 2: Convert to fraction form
    25,209.41/37,819.58 = 7,678.77/x
  3. Step 3: Cross multiply
    25,209.41x = 37,819.58 × 7,678.77
  4. Step 4: Simplify right side
    25,209.41x = 290,407,817.92
  5. Step 5: Solve for x
    x = 290,407,817.92/25,209.41
  6. Step 6: Final answer
    x = 11,519.82

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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.