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Finding the Fourth Proportional to 1,368.66, 1,887.74 and 895.82

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Solution

The fourth proportional to 1,368.66, 1,887.74 and 895.82 is: 1,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.66 : 1,887.74 = 895.82 : x
  2. Step 2: Convert to fraction form
    1,368.66/1,887.74 = 895.82/x
  3. Step 3: Cross multiply
    1,368.66x = 1,887.74 × 895.82
  4. Step 4: Simplify right side
    1,368.66x = 1,691,075.25
  5. Step 5: Solve for x
    x = 1,691,075.25/1,368.66
  6. Step 6: Final answer
    x = 1,235.57

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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.