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Finding the Fourth Proportional to 7,681.86, 11,523.87 and 2,485.98

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Solution

The fourth proportional to 7,681.86, 11,523.87 and 2,485.98 is: 3,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.86 : 11,523.87 = 2,485.98 : x
  2. Step 2: Convert to fraction form
    7,681.86/11,523.87 = 2,485.98/x
  3. Step 3: Cross multiply
    7,681.86x = 11,523.87 × 2,485.98
  4. Step 4: Simplify right side
    7,681.86x = 28,648,110.34
  5. Step 5: Solve for x
    x = 28,648,110.34/7,681.86
  6. Step 6: Final answer
    x = 3,729.32

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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.