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Finding the Fourth Proportional to 14,645.32, 20,210.82 and 8,021.32

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Solution

The fourth proportional to 14,645.32, 20,210.82 and 8,021.32 is: 11,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.32 : 20,210.82 = 8,021.32 : x
  2. Step 2: Convert to fraction form
    14,645.32/20,210.82 = 8,021.32/x
  3. Step 3: Cross multiply
    14,645.32x = 20,210.82 × 8,021.32
  4. Step 4: Simplify right side
    14,645.32x = 162,117,454.68
  5. Step 5: Solve for x
    x = 162,117,454.68/14,645.32
  6. Step 6: Final answer
    x = 11,069.57

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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.