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Finding the Fourth Proportional to 5,644.85, 7,791.57 and 3,655.53

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Solution

The fourth proportional to 5,644.85, 7,791.57 and 3,655.53 is: 5,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.85 : 7,791.57 = 3,655.53 : x
  2. Step 2: Convert to fraction form
    5,644.85/7,791.57 = 3,655.53/x
  3. Step 3: Cross multiply
    5,644.85x = 7,791.57 × 3,655.53
  4. Step 4: Simplify right side
    5,644.85x = 28,482,317.88
  5. Step 5: Solve for x
    x = 28,482,317.88/5,644.85
  6. Step 6: Final answer
    x = 5,045.72

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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.