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Finding the Fourth Proportional to 7,178.08, 9,904.56 and 4,192.48

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Solution

The fourth proportional to 7,178.08, 9,904.56 and 4,192.48 is: 5,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.08 : 9,904.56 = 4,192.48 : x
  2. Step 2: Convert to fraction form
    7,178.08/9,904.56 = 4,192.48/x
  3. Step 3: Cross multiply
    7,178.08x = 9,904.56 × 4,192.48
  4. Step 4: Simplify right side
    7,178.08x = 41,524,669.71
  5. Step 5: Solve for x
    x = 41,524,669.71/7,178.08
  6. Step 6: Final answer
    x = 5,784.93

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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.