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Finding the Fourth Proportional to 2,597.12, 3,888.64 and 1,728.64

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Solution

The fourth proportional to 2,597.12, 3,888.64 and 1,728.64 is: 2,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.12 : 3,888.64 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    2,597.12/3,888.64 = 1,728.64/x
  3. Step 3: Cross multiply
    2,597.12x = 3,888.64 × 1,728.64
  4. Step 4: Simplify right side
    2,597.12x = 6,722,058.65
  5. Step 5: Solve for x
    x = 6,722,058.65/2,597.12
  6. Step 6: Final answer
    x = 2,588.27

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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.