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Finding the Fourth Proportional to 1,821, 2,512.08 and 1,148.49

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Solution

The fourth proportional to 1,821, 2,512.08 and 1,148.49 is: 1,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821 : 2,512.08 = 1,148.49 : x
  2. Step 2: Convert to fraction form
    1,821/2,512.08 = 1,148.49/x
  3. Step 3: Cross multiply
    1,821x = 2,512.08 × 1,148.49
  4. Step 4: Simplify right side
    1,821x = 2,885,098.76
  5. Step 5: Solve for x
    x = 2,885,098.76/1,821
  6. Step 6: Final answer
    x = 1,584.35

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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.