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Finding the Fourth Proportional to 11,504, 17,172.06 and 9,871.04

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Solution

The fourth proportional to 11,504, 17,172.06 and 9,871.04 is: 14,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 17,172.06 = 9,871.04 : x
  2. Step 2: Convert to fraction form
    11,504/17,172.06 = 9,871.04/x
  3. Step 3: Cross multiply
    11,504x = 17,172.06 × 9,871.04
  4. Step 4: Simplify right side
    11,504x = 169,506,091.14
  5. Step 5: Solve for x
    x = 169,506,091.14/11,504
  6. Step 6: Final answer
    x = 14,734.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.