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Finding the Fourth Proportional to 18,840.64, 28,243.68 and 6,520

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Solution

The fourth proportional to 18,840.64, 28,243.68 and 6,520 is: 9,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,840.64 : 28,243.68 = 6,520 : x
  2. Step 2: Convert to fraction form
    18,840.64/28,243.68 = 6,520/x
  3. Step 3: Cross multiply
    18,840.64x = 28,243.68 × 6,520
  4. Step 4: Simplify right side
    18,840.64x = 184,148,793.60
  5. Step 5: Solve for x
    x = 184,148,793.60/18,840.64
  6. Step 6: Final answer
    x = 9,774.02

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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.