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Finding the Fourth Proportional to 13,455.63, 18,570.74 and 8,078.45

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Solution

The fourth proportional to 13,455.63, 18,570.74 and 8,078.45 is: 11,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.63 : 18,570.74 = 8,078.45 : x
  2. Step 2: Convert to fraction form
    13,455.63/18,570.74 = 8,078.45/x
  3. Step 3: Cross multiply
    13,455.63x = 18,570.74 × 8,078.45
  4. Step 4: Simplify right side
    13,455.63x = 150,022,661.31
  5. Step 5: Solve for x
    x = 150,022,661.31/13,455.63
  6. Step 6: Final answer
    x = 11,149.43

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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.