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Finding the Fourth Proportional to 2,205.16, 3,043.16 and 1,321

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Solution

The fourth proportional to 2,205.16, 3,043.16 and 1,321 is: 1,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.16 : 3,043.16 = 1,321 : x
  2. Step 2: Convert to fraction form
    2,205.16/3,043.16 = 1,321/x
  3. Step 3: Cross multiply
    2,205.16x = 3,043.16 × 1,321
  4. Step 4: Simplify right side
    2,205.16x = 4,020,014.36
  5. Step 5: Solve for x
    x = 4,020,014.36/2,205.16
  6. Step 6: Final answer
    x = 1,823.00

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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.