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Finding the Fourth Proportional to 13,078.26, 17,978.46 and 11,254.65

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Solution

The fourth proportional to 13,078.26, 17,978.46 and 11,254.65 is: 15,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.26 : 17,978.46 = 11,254.65 : x
  2. Step 2: Convert to fraction form
    13,078.26/17,978.46 = 11,254.65/x
  3. Step 3: Cross multiply
    13,078.26x = 17,978.46 × 11,254.65
  4. Step 4: Simplify right side
    13,078.26x = 202,341,274.84
  5. Step 5: Solve for x
    x = 202,341,274.84/13,078.26
  6. Step 6: Final answer
    x = 15,471.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.