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Finding the Fourth Proportional to 12,832.64, 19,236 and 5,038.40

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Solution

The fourth proportional to 12,832.64, 19,236 and 5,038.40 is: 7,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.64 : 19,236 = 5,038.40 : x
  2. Step 2: Convert to fraction form
    12,832.64/19,236 = 5,038.40/x
  3. Step 3: Cross multiply
    12,832.64x = 19,236 × 5,038.40
  4. Step 4: Simplify right side
    12,832.64x = 96,918,662.40
  5. Step 5: Solve for x
    x = 96,918,662.40/12,832.64
  6. Step 6: Final answer
    x = 7,552.51

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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.