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Finding the Fourth Proportional to 13,758.84, 18,988.14 and 8,383.32

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Solution

The fourth proportional to 13,758.84, 18,988.14 and 8,383.32 is: 11,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.84 : 18,988.14 = 8,383.32 : x
  2. Step 2: Convert to fraction form
    13,758.84/18,988.14 = 8,383.32/x
  3. Step 3: Cross multiply
    13,758.84x = 18,988.14 × 8,383.32
  4. Step 4: Simplify right side
    13,758.84x = 159,183,653.82
  5. Step 5: Solve for x
    x = 159,183,653.82/13,758.84
  6. Step 6: Final answer
    x = 11,569.55

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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.