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Finding the Fourth Proportional to 5,477.38, 7,539.78 and 4,777.54

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Solution

The fourth proportional to 5,477.38, 7,539.78 and 4,777.54 is: 6,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.38 : 7,539.78 = 4,777.54 : x
  2. Step 2: Convert to fraction form
    5,477.38/7,539.78 = 4,777.54/x
  3. Step 3: Cross multiply
    5,477.38x = 7,539.78 × 4,777.54
  4. Step 4: Simplify right side
    5,477.38x = 36,021,600.54
  5. Step 5: Solve for x
    x = 36,021,600.54/5,477.38
  6. Step 6: Final answer
    x = 6,576.43

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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.