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Finding the Fourth Proportional to 1,915.86, 2,873.94 and 820.23

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Solution

The fourth proportional to 1,915.86, 2,873.94 and 820.23 is: 1,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.86 : 2,873.94 = 820.23 : x
  2. Step 2: Convert to fraction form
    1,915.86/2,873.94 = 820.23/x
  3. Step 3: Cross multiply
    1,915.86x = 2,873.94 × 820.23
  4. Step 4: Simplify right side
    1,915.86x = 2,357,291.81
  5. Step 5: Solve for x
    x = 2,357,291.81/1,915.86
  6. Step 6: Final answer
    x = 1,230.41

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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.