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Finding the Fourth Proportional to 20,774, 28,670.76 and 13,715.12

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Solution

The fourth proportional to 20,774, 28,670.76 and 13,715.12 is: 18,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774 : 28,670.76 = 13,715.12 : x
  2. Step 2: Convert to fraction form
    20,774/28,670.76 = 13,715.12/x
  3. Step 3: Cross multiply
    20,774x = 28,670.76 × 13,715.12
  4. Step 4: Simplify right side
    20,774x = 393,222,913.89
  5. Step 5: Solve for x
    x = 393,222,913.89/20,774
  6. Step 6: Final answer
    x = 18,928.61

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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.