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Finding the Fourth Proportional to 9,300.42, 12,832.83 and 5,764.50

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Solution

The fourth proportional to 9,300.42, 12,832.83 and 5,764.50 is: 7,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.42 : 12,832.83 = 5,764.50 : x
  2. Step 2: Convert to fraction form
    9,300.42/12,832.83 = 5,764.50/x
  3. Step 3: Cross multiply
    9,300.42x = 12,832.83 × 5,764.50
  4. Step 4: Simplify right side
    9,300.42x = 73,974,848.54
  5. Step 5: Solve for x
    x = 73,974,848.54/9,300.42
  6. Step 6: Final answer
    x = 7,953.93

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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.