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Finding the Fourth Proportional to 5,782.72, 7,977.60 and 4,018.56

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Solution

The fourth proportional to 5,782.72, 7,977.60 and 4,018.56 is: 5,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.72 : 7,977.60 = 4,018.56 : x
  2. Step 2: Convert to fraction form
    5,782.72/7,977.60 = 4,018.56/x
  3. Step 3: Cross multiply
    5,782.72x = 7,977.60 × 4,018.56
  4. Step 4: Simplify right side
    5,782.72x = 32,058,464.26
  5. Step 5: Solve for x
    x = 32,058,464.26/5,782.72
  6. Step 6: Final answer
    x = 5,543.84

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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.