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Finding the Fourth Proportional to 1,671.81, 2,307.90 and 1,297.95

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Solution

The fourth proportional to 1,671.81, 2,307.90 and 1,297.95 is: 1,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.81 : 2,307.90 = 1,297.95 : x
  2. Step 2: Convert to fraction form
    1,671.81/2,307.90 = 1,297.95/x
  3. Step 3: Cross multiply
    1,671.81x = 2,307.90 × 1,297.95
  4. Step 4: Simplify right side
    1,671.81x = 2,995,538.81
  5. Step 5: Solve for x
    x = 2,995,538.81/1,671.81
  6. Step 6: Final answer
    x = 1,791.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.