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Finding the Fourth Proportional to 2,154.78, 2,973.15 and 1,368.54

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Solution

The fourth proportional to 2,154.78, 2,973.15 and 1,368.54 is: 1,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.78 : 2,973.15 = 1,368.54 : x
  2. Step 2: Convert to fraction form
    2,154.78/2,973.15 = 1,368.54/x
  3. Step 3: Cross multiply
    2,154.78x = 2,973.15 × 1,368.54
  4. Step 4: Simplify right side
    2,154.78x = 4,068,874.70
  5. Step 5: Solve for x
    x = 4,068,874.70/2,154.78
  6. Step 6: Final answer
    x = 1,888.30

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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.