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Finding the Fourth Proportional to 1,285.36, 1,775.72 and 1,212.46

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Solution

The fourth proportional to 1,285.36, 1,775.72 and 1,212.46 is: 1,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.36 : 1,775.72 = 1,212.46 : x
  2. Step 2: Convert to fraction form
    1,285.36/1,775.72 = 1,212.46/x
  3. Step 3: Cross multiply
    1,285.36x = 1,775.72 × 1,212.46
  4. Step 4: Simplify right side
    1,285.36x = 2,152,988.06
  5. Step 5: Solve for x
    x = 2,152,988.06/1,285.36
  6. Step 6: Final answer
    x = 1,675.01

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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.