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Finding the Fourth Proportional to 1,783.74, 2,675.61 and 1,171.32

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Solution

The fourth proportional to 1,783.74, 2,675.61 and 1,171.32 is: 1,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.74 : 2,675.61 = 1,171.32 : x
  2. Step 2: Convert to fraction form
    1,783.74/2,675.61 = 1,171.32/x
  3. Step 3: Cross multiply
    1,783.74x = 2,675.61 × 1,171.32
  4. Step 4: Simplify right side
    1,783.74x = 3,133,995.51
  5. Step 5: Solve for x
    x = 3,133,995.51/1,783.74
  6. Step 6: Final answer
    x = 1,756.98

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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.