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Finding the Fourth Proportional to 13,783.41, 19,021.22 and 7,495.78

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Solution

The fourth proportional to 13,783.41, 19,021.22 and 7,495.78 is: 10,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.41 : 19,021.22 = 7,495.78 : x
  2. Step 2: Convert to fraction form
    13,783.41/19,021.22 = 7,495.78/x
  3. Step 3: Cross multiply
    13,783.41x = 19,021.22 × 7,495.78
  4. Step 4: Simplify right side
    13,783.41x = 142,578,880.45
  5. Step 5: Solve for x
    x = 142,578,880.45/13,783.41
  6. Step 6: Final answer
    x = 10,344.24

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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.