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Finding the Fourth Proportional to 2,573, 3,859.98 and 1,205

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Solution

The fourth proportional to 2,573, 3,859.98 and 1,205 is: 1,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573 : 3,859.98 = 1,205 : x
  2. Step 2: Convert to fraction form
    2,573/3,859.98 = 1,205/x
  3. Step 3: Cross multiply
    2,573x = 3,859.98 × 1,205
  4. Step 4: Simplify right side
    2,573x = 4,651,275.90
  5. Step 5: Solve for x
    x = 4,651,275.90/2,573
  6. Step 6: Final answer
    x = 1,807.72

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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.