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Finding the Fourth Proportional to 1,778.81, 2,455.65 and 1,219.50

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Solution

The fourth proportional to 1,778.81, 2,455.65 and 1,219.50 is: 1,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.81 : 2,455.65 = 1,219.50 : x
  2. Step 2: Convert to fraction form
    1,778.81/2,455.65 = 1,219.50/x
  3. Step 3: Cross multiply
    1,778.81x = 2,455.65 × 1,219.50
  4. Step 4: Simplify right side
    1,778.81x = 2,994,665.18
  5. Step 5: Solve for x
    x = 2,994,665.18/1,778.81
  6. Step 6: Final answer
    x = 1,683.53

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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.