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Finding the Fourth Proportional to 9,252, 13,878 and 3,096.16

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Solution

The fourth proportional to 9,252, 13,878 and 3,096.16 is: 4,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 13,878 = 3,096.16 : x
  2. Step 2: Convert to fraction form
    9,252/13,878 = 3,096.16/x
  3. Step 3: Cross multiply
    9,252x = 13,878 × 3,096.16
  4. Step 4: Simplify right side
    9,252x = 42,968,508.48
  5. Step 5: Solve for x
    x = 42,968,508.48/9,252
  6. Step 6: Final answer
    x = 4,644.24

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Why These Related Problems?

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