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Finding the Fourth Proportional to 11,798.70, 16,282.49 and 7,019.21

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Solution

The fourth proportional to 11,798.70, 16,282.49 and 7,019.21 is: 9,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.70 : 16,282.49 = 7,019.21 : x
  2. Step 2: Convert to fraction form
    11,798.70/16,282.49 = 7,019.21/x
  3. Step 3: Cross multiply
    11,798.70x = 16,282.49 × 7,019.21
  4. Step 4: Simplify right side
    11,798.70x = 114,290,100.12
  5. Step 5: Solve for x
    x = 114,290,100.12/11,798.70
  6. Step 6: Final answer
    x = 9,686.67

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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.