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Finding the Fourth Proportional to 7,459.14, 11,190.72 and 6,643.06

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Solution

The fourth proportional to 7,459.14, 11,190.72 and 6,643.06 is: 9,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.14 : 11,190.72 = 6,643.06 : x
  2. Step 2: Convert to fraction form
    7,459.14/11,190.72 = 6,643.06/x
  3. Step 3: Cross multiply
    7,459.14x = 11,190.72 × 6,643.06
  4. Step 4: Simplify right side
    7,459.14x = 74,340,624.40
  5. Step 5: Solve for x
    x = 74,340,624.40/7,459.14
  6. Step 6: Final answer
    x = 9,966.38

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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.