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Finding the Fourth Proportional to 9,712.98, 13,403.97 and 5,521.14

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Solution

The fourth proportional to 9,712.98, 13,403.97 and 5,521.14 is: 7,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.98 : 13,403.97 = 5,521.14 : x
  2. Step 2: Convert to fraction form
    9,712.98/13,403.97 = 5,521.14/x
  3. Step 3: Cross multiply
    9,712.98x = 13,403.97 × 5,521.14
  4. Step 4: Simplify right side
    9,712.98x = 74,005,194.93
  5. Step 5: Solve for x
    x = 74,005,194.93/9,712.98
  6. Step 6: Final answer
    x = 7,619.21

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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.