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Finding the Fourth Proportional to 13,578.54, 18,741.72 and 8,276.28

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Solution

The fourth proportional to 13,578.54, 18,741.72 and 8,276.28 is: 11,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.54 : 18,741.72 = 8,276.28 : x
  2. Step 2: Convert to fraction form
    13,578.54/18,741.72 = 8,276.28/x
  3. Step 3: Cross multiply
    13,578.54x = 18,741.72 × 8,276.28
  4. Step 4: Simplify right side
    13,578.54x = 155,111,722.40
  5. Step 5: Solve for x
    x = 155,111,722.40/13,578.54
  6. Step 6: Final answer
    x = 11,423.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.