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Finding the Fourth Proportional to 28,774, 39,709.74 and 16,199.56

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Solution

The fourth proportional to 28,774, 39,709.74 and 16,199.56 is: 22,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,774 : 39,709.74 = 16,199.56 : x
  2. Step 2: Convert to fraction form
    28,774/39,709.74 = 16,199.56/x
  3. Step 3: Cross multiply
    28,774x = 39,709.74 × 16,199.56
  4. Step 4: Simplify right side
    28,774x = 643,280,315.71
  5. Step 5: Solve for x
    x = 643,280,315.71/28,774
  6. Step 6: Final answer
    x = 22,356.30

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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.