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Finding the Fourth Proportional to 1,427.60, 1,969.16 and 895.98

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Solution

The fourth proportional to 1,427.60, 1,969.16 and 895.98 is: 1,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.60 : 1,969.16 = 895.98 : x
  2. Step 2: Convert to fraction form
    1,427.60/1,969.16 = 895.98/x
  3. Step 3: Cross multiply
    1,427.60x = 1,969.16 × 895.98
  4. Step 4: Simplify right side
    1,427.60x = 1,764,327.98
  5. Step 5: Solve for x
    x = 1,764,327.98/1,427.60
  6. Step 6: Final answer
    x = 1,235.87

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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.