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Finding the Fourth Proportional to 4,596.40, 6,887.40 and 3,977.20

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Solution

The fourth proportional to 4,596.40, 6,887.40 and 3,977.20 is: 5,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.40 : 6,887.40 = 3,977.20 : x
  2. Step 2: Convert to fraction form
    4,596.40/6,887.40 = 3,977.20/x
  3. Step 3: Cross multiply
    4,596.40x = 6,887.40 × 3,977.20
  4. Step 4: Simplify right side
    4,596.40x = 27,392,567.28
  5. Step 5: Solve for x
    x = 27,392,567.28/4,596.40
  6. Step 6: Final answer
    x = 5,959.57

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1.5x scale

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.