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Finding the Fourth Proportional to 1,893.81, 2,613.38 and 1,148.07

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Solution

The fourth proportional to 1,893.81, 2,613.38 and 1,148.07 is: 1,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,613.38 = 1,148.07 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,613.38 = 1,148.07/x
  3. Step 3: Cross multiply
    1,893.81x = 2,613.38 × 1,148.07
  4. Step 4: Simplify right side
    1,893.81x = 3,000,343.18
  5. Step 5: Solve for x
    x = 3,000,343.18/1,893.81
  6. Step 6: Final answer
    x = 1,584.29

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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.