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Finding the Fourth Proportional to 9,595.68, 13,238.01 and 6,237.42

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Solution

The fourth proportional to 9,595.68, 13,238.01 and 6,237.42 is: 8,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.68 : 13,238.01 = 6,237.42 : x
  2. Step 2: Convert to fraction form
    9,595.68/13,238.01 = 6,237.42/x
  3. Step 3: Cross multiply
    9,595.68x = 13,238.01 × 6,237.42
  4. Step 4: Simplify right side
    9,595.68x = 82,571,028.33
  5. Step 5: Solve for x
    x = 82,571,028.33/9,595.68
  6. Step 6: Final answer
    x = 8,605.02

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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.