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Finding the Fourth Proportional to 14,470.68, 19,969.92 and 8,181.84

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Solution

The fourth proportional to 14,470.68, 19,969.92 and 8,181.84 is: 11,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.68 : 19,969.92 = 8,181.84 : x
  2. Step 2: Convert to fraction form
    14,470.68/19,969.92 = 8,181.84/x
  3. Step 3: Cross multiply
    14,470.68x = 19,969.92 × 8,181.84
  4. Step 4: Simplify right side
    14,470.68x = 163,390,690.25
  5. Step 5: Solve for x
    x = 163,390,690.25/14,470.68
  6. Step 6: Final answer
    x = 11,291.15

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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.