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Finding the Fourth Proportional to 1,212.76, 1,810.53 and 1,073.44

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Solution

The fourth proportional to 1,212.76, 1,810.53 and 1,073.44 is: 1,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.76 : 1,810.53 = 1,073.44 : x
  2. Step 2: Convert to fraction form
    1,212.76/1,810.53 = 1,073.44/x
  3. Step 3: Cross multiply
    1,212.76x = 1,810.53 × 1,073.44
  4. Step 4: Simplify right side
    1,212.76x = 1,943,495.32
  5. Step 5: Solve for x
    x = 1,943,495.32/1,212.76
  6. Step 6: Final answer
    x = 1,602.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.