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Finding the Fourth Proportional to 1,855.70, 2,784.29 and 815.16

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Solution

The fourth proportional to 1,855.70, 2,784.29 and 815.16 is: 1,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.70 : 2,784.29 = 815.16 : x
  2. Step 2: Convert to fraction form
    1,855.70/2,784.29 = 815.16/x
  3. Step 3: Cross multiply
    1,855.70x = 2,784.29 × 815.16
  4. Step 4: Simplify right side
    1,855.70x = 2,269,637.76
  5. Step 5: Solve for x
    x = 2,269,637.76/1,855.70
  6. Step 6: Final answer
    x = 1,223.07

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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.