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Finding the Fourth Proportional to 14,482.81, 19,986.12 and 8,109.46

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Solution

The fourth proportional to 14,482.81, 19,986.12 and 8,109.46 is: 11,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.81 : 19,986.12 = 8,109.46 : x
  2. Step 2: Convert to fraction form
    14,482.81/19,986.12 = 8,109.46/x
  3. Step 3: Cross multiply
    14,482.81x = 19,986.12 × 8,109.46
  4. Step 4: Simplify right side
    14,482.81x = 162,076,590.73
  5. Step 5: Solve for x
    x = 162,076,590.73/14,482.81
  6. Step 6: Final answer
    x = 11,190.96

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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.