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Finding the Fourth Proportional to 18,978.08, 28,460.64 and 9,614.48

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Solution

The fourth proportional to 18,978.08, 28,460.64 and 9,614.48 is: 14,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.08 : 28,460.64 = 9,614.48 : x
  2. Step 2: Convert to fraction form
    18,978.08/28,460.64 = 9,614.48/x
  3. Step 3: Cross multiply
    18,978.08x = 28,460.64 × 9,614.48
  4. Step 4: Simplify right side
    18,978.08x = 273,634,254.07
  5. Step 5: Solve for x
    x = 273,634,254.07/18,978.08
  6. Step 6: Final answer
    x = 14,418.44

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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.