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Finding the Fourth Proportional to 2,005.88, 2,768 and 1,121.50

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Solution

The fourth proportional to 2,005.88, 2,768 and 1,121.50 is: 1,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 2,768 = 1,121.50 : x
  2. Step 2: Convert to fraction form
    2,005.88/2,768 = 1,121.50/x
  3. Step 3: Cross multiply
    2,005.88x = 2,768 × 1,121.50
  4. Step 4: Simplify right side
    2,005.88x = 3,104,312
  5. Step 5: Solve for x
    x = 3,104,312/2,005.88
  6. Step 6: Final answer
    x = 1,547.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.