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Finding the Fourth Proportional to 2,597.93, 3,878.04 and 2,405.21

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Solution

The fourth proportional to 2,597.93, 3,878.04 and 2,405.21 is: 3,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.93 : 3,878.04 = 2,405.21 : x
  2. Step 2: Convert to fraction form
    2,597.93/3,878.04 = 2,405.21/x
  3. Step 3: Cross multiply
    2,597.93x = 3,878.04 × 2,405.21
  4. Step 4: Simplify right side
    2,597.93x = 9,327,481.20
  5. Step 5: Solve for x
    x = 9,327,481.20/2,597.93
  6. Step 6: Final answer
    x = 3,590.36

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1.5x scale

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.