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Finding the Fourth Proportional to 17,022.92, 25,525.74 and 7,781

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Solution

The fourth proportional to 17,022.92, 25,525.74 and 7,781 is: 11,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.92 : 25,525.74 = 7,781 : x
  2. Step 2: Convert to fraction form
    17,022.92/25,525.74 = 7,781/x
  3. Step 3: Cross multiply
    17,022.92x = 25,525.74 × 7,781
  4. Step 4: Simplify right side
    17,022.92x = 198,615,782.94
  5. Step 5: Solve for x
    x = 198,615,782.94/17,022.92
  6. Step 6: Final answer
    x = 11,667.55

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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.