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Finding the Fourth Proportional to 1,324.88, 1,828.16 and 1,114.32

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Solution

The fourth proportional to 1,324.88, 1,828.16 and 1,114.32 is: 1,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.88 : 1,828.16 = 1,114.32 : x
  2. Step 2: Convert to fraction form
    1,324.88/1,828.16 = 1,114.32/x
  3. Step 3: Cross multiply
    1,324.88x = 1,828.16 × 1,114.32
  4. Step 4: Simplify right side
    1,324.88x = 2,037,155.25
  5. Step 5: Solve for x
    x = 2,037,155.25/1,324.88
  6. Step 6: Final answer
    x = 1,537.61

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Double scale
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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.