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Finding the Fourth Proportional to 2,817, 3,886.56 and 1,823.04

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Solution

The fourth proportional to 2,817, 3,886.56 and 1,823.04 is: 2,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817 : 3,886.56 = 1,823.04 : x
  2. Step 2: Convert to fraction form
    2,817/3,886.56 = 1,823.04/x
  3. Step 3: Cross multiply
    2,817x = 3,886.56 × 1,823.04
  4. Step 4: Simplify right side
    2,817x = 7,085,354.34
  5. Step 5: Solve for x
    x = 7,085,354.34/2,817
  6. Step 6: Final answer
    x = 2,515.21

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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.