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Finding the Fourth Proportional to 2,865.93, 3,956.63 and 2,192.50

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Solution

The fourth proportional to 2,865.93, 3,956.63 and 2,192.50 is: 3,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.93 : 3,956.63 = 2,192.50 : x
  2. Step 2: Convert to fraction form
    2,865.93/3,956.63 = 2,192.50/x
  3. Step 3: Cross multiply
    2,865.93x = 3,956.63 × 2,192.50
  4. Step 4: Simplify right side
    2,865.93x = 8,674,880.53
  5. Step 5: Solve for x
    x = 8,674,880.53/2,865.93
  6. Step 6: Final answer
    x = 3,026.90

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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.