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Finding the Fourth Proportional to 14,773.86, 20,390.46 and 14,109.54

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Solution

The fourth proportional to 14,773.86, 20,390.46 and 14,109.54 is: 19,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.86 : 20,390.46 = 14,109.54 : x
  2. Step 2: Convert to fraction form
    14,773.86/20,390.46 = 14,109.54/x
  3. Step 3: Cross multiply
    14,773.86x = 20,390.46 × 14,109.54
  4. Step 4: Simplify right side
    14,773.86x = 287,700,010.99
  5. Step 5: Solve for x
    x = 287,700,010.99/14,773.86
  6. Step 6: Final answer
    x = 19,473.58

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1.5x scale

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.