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Finding the Fourth Proportional to 2,523.60, 3,783.06 and 1,936.80

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Solution

The fourth proportional to 2,523.60, 3,783.06 and 1,936.80 is: 2,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.60 : 3,783.06 = 1,936.80 : x
  2. Step 2: Convert to fraction form
    2,523.60/3,783.06 = 1,936.80/x
  3. Step 3: Cross multiply
    2,523.60x = 3,783.06 × 1,936.80
  4. Step 4: Simplify right side
    2,523.60x = 7,327,030.61
  5. Step 5: Solve for x
    x = 7,327,030.61/2,523.60
  6. Step 6: Final answer
    x = 2,903.40

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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.