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Finding the Fourth Proportional to 3,642.64, 5,464.10 and 1,177.50

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Solution

The fourth proportional to 3,642.64, 5,464.10 and 1,177.50 is: 1,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.64 : 5,464.10 = 1,177.50 : x
  2. Step 2: Convert to fraction form
    3,642.64/5,464.10 = 1,177.50/x
  3. Step 3: Cross multiply
    3,642.64x = 5,464.10 × 1,177.50
  4. Step 4: Simplify right side
    3,642.64x = 6,433,977.75
  5. Step 5: Solve for x
    x = 6,433,977.75/3,642.64
  6. Step 6: Final answer
    x = 1,766.30

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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.