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Finding the Fourth Proportional to 5,184, 7,779.60 and 2,106

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Solution

The fourth proportional to 5,184, 7,779.60 and 2,106 is: 3,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 7,779.60 = 2,106 : x
  2. Step 2: Convert to fraction form
    5,184/7,779.60 = 2,106/x
  3. Step 3: Cross multiply
    5,184x = 7,779.60 × 2,106
  4. Step 4: Simplify right side
    5,184x = 16,383,837.60
  5. Step 5: Solve for x
    x = 16,383,837.60/5,184
  6. Step 6: Final answer
    x = 3,160.46

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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.