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Finding the Fourth Proportional to 9,415.31, 12,994.16 and 5,437.67

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Solution

The fourth proportional to 9,415.31, 12,994.16 and 5,437.67 is: 7,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.31 : 12,994.16 = 5,437.67 : x
  2. Step 2: Convert to fraction form
    9,415.31/12,994.16 = 5,437.67/x
  3. Step 3: Cross multiply
    9,415.31x = 12,994.16 × 5,437.67
  4. Step 4: Simplify right side
    9,415.31x = 70,657,861.85
  5. Step 5: Solve for x
    x = 70,657,861.85/9,415.31
  6. Step 6: Final answer
    x = 7,504.57

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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.