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Finding the Fourth Proportional to 13,673.92, 20,514.08 and 5,878.40

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Solution

The fourth proportional to 13,673.92, 20,514.08 and 5,878.40 is: 8,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.92 : 20,514.08 = 5,878.40 : x
  2. Step 2: Convert to fraction form
    13,673.92/20,514.08 = 5,878.40/x
  3. Step 3: Cross multiply
    13,673.92x = 20,514.08 × 5,878.40
  4. Step 4: Simplify right side
    13,673.92x = 120,589,967.87
  5. Step 5: Solve for x
    x = 120,589,967.87/13,673.92
  6. Step 6: Final answer
    x = 8,818.98

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1.5x scale

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.