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Finding the Fourth Proportional to 2,169, 2,994.30 and 2,039.40

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Solution

The fourth proportional to 2,169, 2,994.30 and 2,039.40 is: 2,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 2,994.30 = 2,039.40 : x
  2. Step 2: Convert to fraction form
    2,169/2,994.30 = 2,039.40/x
  3. Step 3: Cross multiply
    2,169x = 2,994.30 × 2,039.40
  4. Step 4: Simplify right side
    2,169x = 6,106,575.42
  5. Step 5: Solve for x
    x = 6,106,575.42/2,169
  6. Step 6: Final answer
    x = 2,815.39

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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.