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Finding the Fourth Proportional to 1,893.46, 2,613 and 1,147.24

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Solution

The fourth proportional to 1,893.46, 2,613 and 1,147.24 is: 1,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.46 : 2,613 = 1,147.24 : x
  2. Step 2: Convert to fraction form
    1,893.46/2,613 = 1,147.24/x
  3. Step 3: Cross multiply
    1,893.46x = 2,613 × 1,147.24
  4. Step 4: Simplify right side
    1,893.46x = 2,997,738.12
  5. Step 5: Solve for x
    x = 2,997,738.12/1,893.46
  6. Step 6: Final answer
    x = 1,583.21

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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.