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Finding the Fourth Proportional to 13,196.64, 19,803 and 6,872.16

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Solution

The fourth proportional to 13,196.64, 19,803 and 6,872.16 is: 10,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.64 : 19,803 = 6,872.16 : x
  2. Step 2: Convert to fraction form
    13,196.64/19,803 = 6,872.16/x
  3. Step 3: Cross multiply
    13,196.64x = 19,803 × 6,872.16
  4. Step 4: Simplify right side
    13,196.64x = 136,089,384.48
  5. Step 5: Solve for x
    x = 136,089,384.48/13,196.64
  6. Step 6: Final answer
    x = 10,312.43

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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.