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Finding the Fourth Proportional to 11,849.70, 17,783.04 and 6,920.84

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Solution

The fourth proportional to 11,849.70, 17,783.04 and 6,920.84 is: 10,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.70 : 17,783.04 = 6,920.84 : x
  2. Step 2: Convert to fraction form
    11,849.70/17,783.04 = 6,920.84/x
  3. Step 3: Cross multiply
    11,849.70x = 17,783.04 × 6,920.84
  4. Step 4: Simplify right side
    11,849.70x = 123,073,574.55
  5. Step 5: Solve for x
    x = 123,073,574.55/11,849.70
  6. Step 6: Final answer
    x = 10,386.22

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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.