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Finding the Fourth Proportional to 13,643.76, 18,829.08 and 8,054.64

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Solution

The fourth proportional to 13,643.76, 18,829.08 and 8,054.64 is: 11,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.76 : 18,829.08 = 8,054.64 : x
  2. Step 2: Convert to fraction form
    13,643.76/18,829.08 = 8,054.64/x
  3. Step 3: Cross multiply
    13,643.76x = 18,829.08 × 8,054.64
  4. Step 4: Simplify right side
    13,643.76x = 151,661,460.93
  5. Step 5: Solve for x
    x = 151,661,460.93/13,643.76
  6. Step 6: Final answer
    x = 11,115.81

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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.