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Finding the Fourth Proportional to 7,118.74, 10,667.80 and 6,496.12

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Solution

The fourth proportional to 7,118.74, 10,667.80 and 6,496.12 is: 9,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.74 : 10,667.80 = 6,496.12 : x
  2. Step 2: Convert to fraction form
    7,118.74/10,667.80 = 6,496.12/x
  3. Step 3: Cross multiply
    7,118.74x = 10,667.80 × 6,496.12
  4. Step 4: Simplify right side
    7,118.74x = 69,299,308.94
  5. Step 5: Solve for x
    x = 69,299,308.94/7,118.74
  6. Step 6: Final answer
    x = 9,734.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.