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Finding the Fourth Proportional to 1,852.94, 2,555.94 and 1,223.47

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Solution

The fourth proportional to 1,852.94, 2,555.94 and 1,223.47 is: 1,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.94 : 2,555.94 = 1,223.47 : x
  2. Step 2: Convert to fraction form
    1,852.94/2,555.94 = 1,223.47/x
  3. Step 3: Cross multiply
    1,852.94x = 2,555.94 × 1,223.47
  4. Step 4: Simplify right side
    1,852.94x = 3,127,115.91
  5. Step 5: Solve for x
    x = 3,127,115.91/1,852.94
  6. Step 6: Final answer
    x = 1,687.65

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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.