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Finding the Fourth Proportional to 9,609.63, 13,261.31 and 5,417.88

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Solution

The fourth proportional to 9,609.63, 13,261.31 and 5,417.88 is: 7,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.63 : 13,261.31 = 5,417.88 : x
  2. Step 2: Convert to fraction form
    9,609.63/13,261.31 = 5,417.88/x
  3. Step 3: Cross multiply
    9,609.63x = 13,261.31 × 5,417.88
  4. Step 4: Simplify right side
    9,609.63x = 71,848,186.22
  5. Step 5: Solve for x
    x = 71,848,186.22/9,609.63
  6. Step 6: Final answer
    x = 7,476.69

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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.