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Finding the Fourth Proportional to 8,968.95, 12,378.14 and 5,192.06

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Solution

The fourth proportional to 8,968.95, 12,378.14 and 5,192.06 is: 7,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.95 : 12,378.14 = 5,192.06 : x
  2. Step 2: Convert to fraction form
    8,968.95/12,378.14 = 5,192.06/x
  3. Step 3: Cross multiply
    8,968.95x = 12,378.14 × 5,192.06
  4. Step 4: Simplify right side
    8,968.95x = 64,267,957.72
  5. Step 5: Solve for x
    x = 64,267,957.72/8,968.95
  6. Step 6: Final answer
    x = 7,165.61

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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.