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Finding the Fourth Proportional to 7,662.09, 11,485.98 and 2,985.15

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Solution

The fourth proportional to 7,662.09, 11,485.98 and 2,985.15 is: 4,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.09 : 11,485.98 = 2,985.15 : x
  2. Step 2: Convert to fraction form
    7,662.09/11,485.98 = 2,985.15/x
  3. Step 3: Cross multiply
    7,662.09x = 11,485.98 × 2,985.15
  4. Step 4: Simplify right side
    7,662.09x = 34,287,373.20
  5. Step 5: Solve for x
    x = 34,287,373.20/7,662.09
  6. Step 6: Final answer
    x = 4,474.94

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Why These Related Problems?

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