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Finding the Fourth Proportional to 1,537.66, 2,122.02 and 874.48

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Solution

The fourth proportional to 1,537.66, 2,122.02 and 874.48 is: 1,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.66 : 2,122.02 = 874.48 : x
  2. Step 2: Convert to fraction form
    1,537.66/2,122.02 = 874.48/x
  3. Step 3: Cross multiply
    1,537.66x = 2,122.02 × 874.48
  4. Step 4: Simplify right side
    1,537.66x = 1,855,664.05
  5. Step 5: Solve for x
    x = 1,855,664.05/1,537.66
  6. Step 6: Final answer
    x = 1,206.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.