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Finding the Fourth Proportional to 11,245, 15,518.64 and 6,209.95

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Solution

The fourth proportional to 11,245, 15,518.64 and 6,209.95 is: 8,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245 : 15,518.64 = 6,209.95 : x
  2. Step 2: Convert to fraction form
    11,245/15,518.64 = 6,209.95/x
  3. Step 3: Cross multiply
    11,245x = 15,518.64 × 6,209.95
  4. Step 4: Simplify right side
    11,245x = 96,369,978.47
  5. Step 5: Solve for x
    x = 96,369,978.47/11,245
  6. Step 6: Final answer
    x = 8,570.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.