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Finding the Fourth Proportional to 13,783.90, 19,021.90 and 7,496.28

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Solution

The fourth proportional to 13,783.90, 19,021.90 and 7,496.28 is: 10,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.90 : 19,021.90 = 7,496.28 : x
  2. Step 2: Convert to fraction form
    13,783.90/19,021.90 = 7,496.28/x
  3. Step 3: Cross multiply
    13,783.90x = 19,021.90 × 7,496.28
  4. Step 4: Simplify right side
    13,783.90x = 142,593,488.53
  5. Step 5: Solve for x
    x = 142,593,488.53/13,783.90
  6. Step 6: Final answer
    x = 10,344.93

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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.