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Finding the Fourth Proportional to 13,653.92, 18,845.52 and 8,068.16

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Solution

The fourth proportional to 13,653.92, 18,845.52 and 8,068.16 is: 11,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.92 : 18,845.52 = 8,068.16 : x
  2. Step 2: Convert to fraction form
    13,653.92/18,845.52 = 8,068.16/x
  3. Step 3: Cross multiply
    13,653.92x = 18,845.52 × 8,068.16
  4. Step 4: Simplify right side
    13,653.92x = 152,048,670.64
  5. Step 5: Solve for x
    x = 152,048,670.64/13,653.92
  6. Step 6: Final answer
    x = 11,135.90

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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.