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Finding the Fourth Proportional to 1,368.14, 1,887.44 and 895.21

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Solution

The fourth proportional to 1,368.14, 1,887.44 and 895.21 is: 1,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 1,887.44 = 895.21 : x
  2. Step 2: Convert to fraction form
    1,368.14/1,887.44 = 895.21/x
  3. Step 3: Cross multiply
    1,368.14x = 1,887.44 × 895.21
  4. Step 4: Simplify right side
    1,368.14x = 1,689,655.16
  5. Step 5: Solve for x
    x = 1,689,655.16/1,368.14
  6. Step 6: Final answer
    x = 1,235.00

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1.5x scale

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.