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Finding the Fourth Proportional to 13,853.64, 20,779.18 and 5,645

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Solution

The fourth proportional to 13,853.64, 20,779.18 and 5,645 is: 8,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.64 : 20,779.18 = 5,645 : x
  2. Step 2: Convert to fraction form
    13,853.64/20,779.18 = 5,645/x
  3. Step 3: Cross multiply
    13,853.64x = 20,779.18 × 5,645
  4. Step 4: Simplify right side
    13,853.64x = 117,298,471.10
  5. Step 5: Solve for x
    x = 117,298,471.10/13,853.64
  6. Step 6: Final answer
    x = 8,466.98

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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.