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Finding the Fourth Proportional to 14,783.94, 20,402.07 and 8,410.38

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Solution

The fourth proportional to 14,783.94, 20,402.07 and 8,410.38 is: 11,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.94 : 20,402.07 = 8,410.38 : x
  2. Step 2: Convert to fraction form
    14,783.94/20,402.07 = 8,410.38/x
  3. Step 3: Cross multiply
    14,783.94x = 20,402.07 × 8,410.38
  4. Step 4: Simplify right side
    14,783.94x = 171,589,161.49
  5. Step 5: Solve for x
    x = 171,589,161.49/14,783.94
  6. Step 6: Final answer
    x = 11,606.46

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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.