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Finding the Fourth Proportional to 8,345.81, 11,517.23 and 5,202

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Solution

The fourth proportional to 8,345.81, 11,517.23 and 5,202 is: 7,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.81 : 11,517.23 = 5,202 : x
  2. Step 2: Convert to fraction form
    8,345.81/11,517.23 = 5,202/x
  3. Step 3: Cross multiply
    8,345.81x = 11,517.23 × 5,202
  4. Step 4: Simplify right side
    8,345.81x = 59,912,643.47
  5. Step 5: Solve for x
    x = 59,912,643.47/8,345.81
  6. Step 6: Final answer
    x = 7,178.77

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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.