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Finding the Fourth Proportional to 2,652.63, 3,978.93 and 1,191.39

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Solution

The fourth proportional to 2,652.63, 3,978.93 and 1,191.39 is: 1,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.63 : 3,978.93 = 1,191.39 : x
  2. Step 2: Convert to fraction form
    2,652.63/3,978.93 = 1,191.39/x
  3. Step 3: Cross multiply
    2,652.63x = 3,978.93 × 1,191.39
  4. Step 4: Simplify right side
    2,652.63x = 4,740,457.41
  5. Step 5: Solve for x
    x = 4,740,457.41/2,652.63
  6. Step 6: Final answer
    x = 1,787.08

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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.