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Finding the Fourth Proportional to 2,154.94, 2,973.82 and 1,223.44

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Solution

The fourth proportional to 2,154.94, 2,973.82 and 1,223.44 is: 1,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 2,973.82 = 1,223.44 : x
  2. Step 2: Convert to fraction form
    2,154.94/2,973.82 = 1,223.44/x
  3. Step 3: Cross multiply
    2,154.94x = 2,973.82 × 1,223.44
  4. Step 4: Simplify right side
    2,154.94x = 3,638,290.34
  5. Step 5: Solve for x
    x = 3,638,290.34/2,154.94
  6. Step 6: Final answer
    x = 1,688.35

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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.