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Finding the Fourth Proportional to 7,985.69, 11,978.53 and 3,604.40

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Solution

The fourth proportional to 7,985.69, 11,978.53 and 3,604.40 is: 5,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.69 : 11,978.53 = 3,604.40 : x
  2. Step 2: Convert to fraction form
    7,985.69/11,978.53 = 3,604.40/x
  3. Step 3: Cross multiply
    7,985.69x = 11,978.53 × 3,604.40
  4. Step 4: Simplify right side
    7,985.69x = 43,175,409.82
  5. Step 5: Solve for x
    x = 43,175,409.82/7,985.69
  6. Step 6: Final answer
    x = 5,406.60

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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.