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Finding the Fourth Proportional to 7,381.93, 10,186.70 and 4,194.81

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Solution

The fourth proportional to 7,381.93, 10,186.70 and 4,194.81 is: 5,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.93 : 10,186.70 = 4,194.81 : x
  2. Step 2: Convert to fraction form
    7,381.93/10,186.70 = 4,194.81/x
  3. Step 3: Cross multiply
    7,381.93x = 10,186.70 × 4,194.81
  4. Step 4: Simplify right side
    7,381.93x = 42,731,271.03
  5. Step 5: Solve for x
    x = 42,731,271.03/7,381.93
  6. Step 6: Final answer
    x = 5,788.63

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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.