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Finding the Fourth Proportional to 13,783.68, 19,021.68 and 8,475.36

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Solution

The fourth proportional to 13,783.68, 19,021.68 and 8,475.36 is: 11,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.68 : 19,021.68 = 8,475.36 : x
  2. Step 2: Convert to fraction form
    13,783.68/19,021.68 = 8,475.36/x
  3. Step 3: Cross multiply
    13,783.68x = 19,021.68 × 8,475.36
  4. Step 4: Simplify right side
    13,783.68x = 161,215,585.80
  5. Step 5: Solve for x
    x = 161,215,585.80/13,783.68
  6. Step 6: Final answer
    x = 11,696.12

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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.