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Finding the Fourth Proportional to 2,301.12, 3,450.72 and 915.12

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Solution

The fourth proportional to 2,301.12, 3,450.72 and 915.12 is: 1,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.12 : 3,450.72 = 915.12 : x
  2. Step 2: Convert to fraction form
    2,301.12/3,450.72 = 915.12/x
  3. Step 3: Cross multiply
    2,301.12x = 3,450.72 × 915.12
  4. Step 4: Simplify right side
    2,301.12x = 3,157,822.89
  5. Step 5: Solve for x
    x = 3,157,822.89/2,301.12
  6. Step 6: Final answer
    x = 1,372.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.