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Finding the Fourth Proportional to 1,215.95, 1,820.79 and 1,009.94

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Solution

The fourth proportional to 1,215.95, 1,820.79 and 1,009.94 is: 1,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.95 : 1,820.79 = 1,009.94 : x
  2. Step 2: Convert to fraction form
    1,215.95/1,820.79 = 1,009.94/x
  3. Step 3: Cross multiply
    1,215.95x = 1,820.79 × 1,009.94
  4. Step 4: Simplify right side
    1,215.95x = 1,838,879.55
  5. Step 5: Solve for x
    x = 1,838,879.55/1,215.95
  6. Step 6: Final answer
    x = 1,512.30

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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.