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Finding the Fourth Proportional to 14,640.75, 20,207.88 and 8,356.77

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Solution

The fourth proportional to 14,640.75, 20,207.88 and 8,356.77 is: 11,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.75 : 20,207.88 = 8,356.77 : x
  2. Step 2: Convert to fraction form
    14,640.75/20,207.88 = 8,356.77/x
  3. Step 3: Cross multiply
    14,640.75x = 20,207.88 × 8,356.77
  4. Step 4: Simplify right side
    14,640.75x = 168,872,605.35
  5. Step 5: Solve for x
    x = 168,872,605.35/14,640.75
  6. Step 6: Final answer
    x = 11,534.42

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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.