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Finding the Fourth Proportional to 1,994.74, 2,972.30 and 1,776.66

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Solution

The fourth proportional to 1,994.74, 2,972.30 and 1,776.66 is: 2,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.74 : 2,972.30 = 1,776.66 : x
  2. Step 2: Convert to fraction form
    1,994.74/2,972.30 = 1,776.66/x
  3. Step 3: Cross multiply
    1,994.74x = 2,972.30 × 1,776.66
  4. Step 4: Simplify right side
    1,994.74x = 5,280,766.52
  5. Step 5: Solve for x
    x = 5,280,766.52/1,994.74
  6. Step 6: Final answer
    x = 2,647.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.