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Finding the Fourth Proportional to 1,783.72, 2,677.74 and 1,135.72

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Solution

The fourth proportional to 1,783.72, 2,677.74 and 1,135.72 is: 1,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.72 : 2,677.74 = 1,135.72 : x
  2. Step 2: Convert to fraction form
    1,783.72/2,677.74 = 1,135.72/x
  3. Step 3: Cross multiply
    1,783.72x = 2,677.74 × 1,135.72
  4. Step 4: Simplify right side
    1,783.72x = 3,041,162.87
  5. Step 5: Solve for x
    x = 3,041,162.87/1,783.72
  6. Step 6: Final answer
    x = 1,704.96

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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.