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Finding the Fourth Proportional to 20,403.96, 28,158.54 and 11,451

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Solution

The fourth proportional to 20,403.96, 28,158.54 and 11,451 is: 15,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403.96 : 28,158.54 = 11,451 : x
  2. Step 2: Convert to fraction form
    20,403.96/28,158.54 = 11,451/x
  3. Step 3: Cross multiply
    20,403.96x = 28,158.54 × 11,451
  4. Step 4: Simplify right side
    20,403.96x = 322,443,441.54
  5. Step 5: Solve for x
    x = 322,443,441.54/20,403.96
  6. Step 6: Final answer
    x = 15,802.98

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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.