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Finding the Fourth Proportional to 11,184.92, 15,416.16 and 7,641.98

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Solution

The fourth proportional to 11,184.92, 15,416.16 and 7,641.98 is: 10,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.92 : 15,416.16 = 7,641.98 : x
  2. Step 2: Convert to fraction form
    11,184.92/15,416.16 = 7,641.98/x
  3. Step 3: Cross multiply
    11,184.92x = 15,416.16 × 7,641.98
  4. Step 4: Simplify right side
    11,184.92x = 117,809,986.40
  5. Step 5: Solve for x
    x = 117,809,986.40/11,184.92
  6. Step 6: Final answer
    x = 10,532.93

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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.