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Finding the Fourth Proportional to 13,185.75, 19,783.49 and 6,945.51

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Solution

The fourth proportional to 13,185.75, 19,783.49 and 6,945.51 is: 10,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.75 : 19,783.49 = 6,945.51 : x
  2. Step 2: Convert to fraction form
    13,185.75/19,783.49 = 6,945.51/x
  3. Step 3: Cross multiply
    13,185.75x = 19,783.49 × 6,945.51
  4. Step 4: Simplify right side
    13,185.75x = 137,406,427.63
  5. Step 5: Solve for x
    x = 137,406,427.63/13,185.75
  6. Step 6: Final answer
    x = 10,420.83

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Double scale
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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.