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Finding the Fourth Proportional to 9,613.88, 14,421 and 3,770.72

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Solution

The fourth proportional to 9,613.88, 14,421 and 3,770.72 is: 5,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.88 : 14,421 = 3,770.72 : x
  2. Step 2: Convert to fraction form
    9,613.88/14,421 = 3,770.72/x
  3. Step 3: Cross multiply
    9,613.88x = 14,421 × 3,770.72
  4. Step 4: Simplify right side
    9,613.88x = 54,377,553.12
  5. Step 5: Solve for x
    x = 54,377,553.12/9,613.88
  6. Step 6: Final answer
    x = 5,656.15

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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.