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Finding the Fourth Proportional to 11,507.94, 17,258.94 and 3,188.70

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Solution

The fourth proportional to 11,507.94, 17,258.94 and 3,188.70 is: 4,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.94 : 17,258.94 = 3,188.70 : x
  2. Step 2: Convert to fraction form
    11,507.94/17,258.94 = 3,188.70/x
  3. Step 3: Cross multiply
    11,507.94x = 17,258.94 × 3,188.70
  4. Step 4: Simplify right side
    11,507.94x = 55,033,581.98
  5. Step 5: Solve for x
    x = 55,033,581.98/11,507.94
  6. Step 6: Final answer
    x = 4,782.23

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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.