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Finding the Fourth Proportional to 13,039.82, 17,994.95 and 7,071.50

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Solution

The fourth proportional to 13,039.82, 17,994.95 and 7,071.50 is: 9,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.82 : 17,994.95 = 7,071.50 : x
  2. Step 2: Convert to fraction form
    13,039.82/17,994.95 = 7,071.50/x
  3. Step 3: Cross multiply
    13,039.82x = 17,994.95 × 7,071.50
  4. Step 4: Simplify right side
    13,039.82x = 127,251,288.93
  5. Step 5: Solve for x
    x = 127,251,288.93/13,039.82
  6. Step 6: Final answer
    x = 9,758.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.