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Finding the Fourth Proportional to 17,040, 25,570.08 and 7,178.64

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Solution

The fourth proportional to 17,040, 25,570.08 and 7,178.64 is: 10,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,040 : 25,570.08 = 7,178.64 : x
  2. Step 2: Convert to fraction form
    17,040/25,570.08 = 7,178.64/x
  3. Step 3: Cross multiply
    17,040x = 25,570.08 × 7,178.64
  4. Step 4: Simplify right side
    17,040x = 183,558,399.09
  5. Step 5: Solve for x
    x = 183,558,399.09/17,040
  6. Step 6: Final answer
    x = 10,772.21

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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.