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Finding the Fourth Proportional to 2,415.81, 3,625.74 and 1,724.16

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Solution

The fourth proportional to 2,415.81, 3,625.74 and 1,724.16 is: 2,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.81 : 3,625.74 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    2,415.81/3,625.74 = 1,724.16/x
  3. Step 3: Cross multiply
    2,415.81x = 3,625.74 × 1,724.16
  4. Step 4: Simplify right side
    2,415.81x = 6,251,355.88
  5. Step 5: Solve for x
    x = 6,251,355.88/2,415.81
  6. Step 6: Final answer
    x = 2,587.69

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1.5x scale

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.