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Finding the Fourth Proportional to 2,127.62, 2,938.74 and 1,537.22

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Solution

The fourth proportional to 2,127.62, 2,938.74 and 1,537.22 is: 2,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.62 : 2,938.74 = 1,537.22 : x
  2. Step 2: Convert to fraction form
    2,127.62/2,938.74 = 1,537.22/x
  3. Step 3: Cross multiply
    2,127.62x = 2,938.74 × 1,537.22
  4. Step 4: Simplify right side
    2,127.62x = 4,517,489.90
  5. Step 5: Solve for x
    x = 4,517,489.90/2,127.62
  6. Step 6: Final answer
    x = 2,123.26

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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.