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Finding the Fourth Proportional to 1,823.89, 2,731.72 and 847.95

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Solution

The fourth proportional to 1,823.89, 2,731.72 and 847.95 is: 1,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.89 : 2,731.72 = 847.95 : x
  2. Step 2: Convert to fraction form
    1,823.89/2,731.72 = 847.95/x
  3. Step 3: Cross multiply
    1,823.89x = 2,731.72 × 847.95
  4. Step 4: Simplify right side
    1,823.89x = 2,316,361.97
  5. Step 5: Solve for x
    x = 2,316,361.97/1,823.89
  6. Step 6: Final answer
    x = 1,270.01

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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.