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Finding the Fourth Proportional to 13,783.80, 20,631.81 and 10,978.98

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Solution

The fourth proportional to 13,783.80, 20,631.81 and 10,978.98 is: 16,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.80 : 20,631.81 = 10,978.98 : x
  2. Step 2: Convert to fraction form
    13,783.80/20,631.81 = 10,978.98/x
  3. Step 3: Cross multiply
    13,783.80x = 20,631.81 × 10,978.98
  4. Step 4: Simplify right side
    13,783.80x = 226,516,193.16
  5. Step 5: Solve for x
    x = 226,516,193.16/13,783.80
  6. Step 6: Final answer
    x = 16,433.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.