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Finding the Fourth Proportional to 9,613.84, 13,267.10 and 5,422.09

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Solution

The fourth proportional to 9,613.84, 13,267.10 and 5,422.09 is: 7,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.84 : 13,267.10 = 5,422.09 : x
  2. Step 2: Convert to fraction form
    9,613.84/13,267.10 = 5,422.09/x
  3. Step 3: Cross multiply
    9,613.84x = 13,267.10 × 5,422.09
  4. Step 4: Simplify right side
    9,613.84x = 71,935,410.24
  5. Step 5: Solve for x
    x = 71,935,410.24/9,613.84
  6. Step 6: Final answer
    x = 7,482.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.