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Finding the Fourth Proportional to 1,855.04, 2,783.73 and 815.60

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Solution

The fourth proportional to 1,855.04, 2,783.73 and 815.60 is: 1,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.04 : 2,783.73 = 815.60 : x
  2. Step 2: Convert to fraction form
    1,855.04/2,783.73 = 815.60/x
  3. Step 3: Cross multiply
    1,855.04x = 2,783.73 × 815.60
  4. Step 4: Simplify right side
    1,855.04x = 2,270,410.19
  5. Step 5: Solve for x
    x = 2,270,410.19/1,855.04
  6. Step 6: Final answer
    x = 1,223.91

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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.