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Finding the Fourth Proportional to 11,945.40, 17,903.52 and 6,740.52

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Solution

The fourth proportional to 11,945.40, 17,903.52 and 6,740.52 is: 10,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.40 : 17,903.52 = 6,740.52 : x
  2. Step 2: Convert to fraction form
    11,945.40/17,903.52 = 6,740.52/x
  3. Step 3: Cross multiply
    11,945.40x = 17,903.52 × 6,740.52
  4. Step 4: Simplify right side
    11,945.40x = 120,679,034.63
  5. Step 5: Solve for x
    x = 120,679,034.63/11,945.40
  6. Step 6: Final answer
    x = 10,102.55

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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.