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Finding the Fourth Proportional to 7,192.50, 10,787.88 and 1,927.93

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Solution

The fourth proportional to 7,192.50, 10,787.88 and 1,927.93 is: 2,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.50 : 10,787.88 = 1,927.93 : x
  2. Step 2: Convert to fraction form
    7,192.50/10,787.88 = 1,927.93/x
  3. Step 3: Cross multiply
    7,192.50x = 10,787.88 × 1,927.93
  4. Step 4: Simplify right side
    7,192.50x = 20,798,247.63
  5. Step 5: Solve for x
    x = 20,798,247.63/7,192.50
  6. Step 6: Final answer
    x = 2,891.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.