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Finding the Fourth Proportional to 5,638.78, 7,779.62 and 3,278.98

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Solution

The fourth proportional to 5,638.78, 7,779.62 and 3,278.98 is: 4,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.78 : 7,779.62 = 3,278.98 : x
  2. Step 2: Convert to fraction form
    5,638.78/7,779.62 = 3,278.98/x
  3. Step 3: Cross multiply
    5,638.78x = 7,779.62 × 3,278.98
  4. Step 4: Simplify right side
    5,638.78x = 25,509,218.39
  5. Step 5: Solve for x
    x = 25,509,218.39/5,638.78
  6. Step 6: Final answer
    x = 4,523.89

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1.5x scale

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.