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Finding the Fourth Proportional to 13,736.32, 18,948 and 8,768.32

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Solution

The fourth proportional to 13,736.32, 18,948 and 8,768.32 is: 12,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.32 : 18,948 = 8,768.32 : x
  2. Step 2: Convert to fraction form
    13,736.32/18,948 = 8,768.32/x
  3. Step 3: Cross multiply
    13,736.32x = 18,948 × 8,768.32
  4. Step 4: Simplify right side
    13,736.32x = 166,142,127.36
  5. Step 5: Solve for x
    x = 166,142,127.36/13,736.32
  6. Step 6: Final answer
    x = 12,095.10

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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.