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Finding the Fourth Proportional to 9,186.16, 12,677.16 and 5,409.58

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Solution

The fourth proportional to 9,186.16, 12,677.16 and 5,409.58 is: 7,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.16 : 12,677.16 = 5,409.58 : x
  2. Step 2: Convert to fraction form
    9,186.16/12,677.16 = 5,409.58/x
  3. Step 3: Cross multiply
    9,186.16x = 12,677.16 × 5,409.58
  4. Step 4: Simplify right side
    9,186.16x = 68,578,111.19
  5. Step 5: Solve for x
    x = 68,578,111.19/9,186.16
  6. Step 6: Final answer
    x = 7,465.37

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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.