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Finding the Fourth Proportional to 13,009.75, 19,515.17 and 3,775.75

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Solution

The fourth proportional to 13,009.75, 19,515.17 and 3,775.75 is: 5,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.75 : 19,515.17 = 3,775.75 : x
  2. Step 2: Convert to fraction form
    13,009.75/19,515.17 = 3,775.75/x
  3. Step 3: Cross multiply
    13,009.75x = 19,515.17 × 3,775.75
  4. Step 4: Simplify right side
    13,009.75x = 73,684,403.13
  5. Step 5: Solve for x
    x = 73,684,403.13/13,009.75
  6. Step 6: Final answer
    x = 5,663.78

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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.