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Finding the Fourth Proportional to 9,690.88, 14,536.16 and 2,765.44

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Solution

The fourth proportional to 9,690.88, 14,536.16 and 2,765.44 is: 4,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.88 : 14,536.16 = 2,765.44 : x
  2. Step 2: Convert to fraction form
    9,690.88/14,536.16 = 2,765.44/x
  3. Step 3: Cross multiply
    9,690.88x = 14,536.16 × 2,765.44
  4. Step 4: Simplify right side
    9,690.88x = 40,198,878.31
  5. Step 5: Solve for x
    x = 40,198,878.31/9,690.88
  6. Step 6: Final answer
    x = 4,148.11

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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.