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Finding the Fourth Proportional to 14,790.45, 20,410 and 8,074.74

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Solution

The fourth proportional to 14,790.45, 20,410 and 8,074.74 is: 11,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,790.45 : 20,410 = 8,074.74 : x
  2. Step 2: Convert to fraction form
    14,790.45/20,410 = 8,074.74/x
  3. Step 3: Cross multiply
    14,790.45x = 20,410 × 8,074.74
  4. Step 4: Simplify right side
    14,790.45x = 164,805,443.40
  5. Step 5: Solve for x
    x = 164,805,443.40/14,790.45
  6. Step 6: Final answer
    x = 11,142.69

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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.