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Finding the Fourth Proportional to 9,689.36, 13,371.33 and 5,497.88

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Solution

The fourth proportional to 9,689.36, 13,371.33 and 5,497.88 is: 7,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.36 : 13,371.33 = 5,497.88 : x
  2. Step 2: Convert to fraction form
    9,689.36/13,371.33 = 5,497.88/x
  3. Step 3: Cross multiply
    9,689.36x = 13,371.33 × 5,497.88
  4. Step 4: Simplify right side
    9,689.36x = 73,513,967.78
  5. Step 5: Solve for x
    x = 73,513,967.78/9,689.36
  6. Step 6: Final answer
    x = 7,587.08

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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.