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Finding the Fourth Proportional to 14,470.40, 19,972.80 and 8,184.80

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Solution

The fourth proportional to 14,470.40, 19,972.80 and 8,184.80 is: 11,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.40 : 19,972.80 = 8,184.80 : x
  2. Step 2: Convert to fraction form
    14,470.40/19,972.80 = 8,184.80/x
  3. Step 3: Cross multiply
    14,470.40x = 19,972.80 × 8,184.80
  4. Step 4: Simplify right side
    14,470.40x = 163,473,373.44
  5. Step 5: Solve for x
    x = 163,473,373.44/14,470.40
  6. Step 6: Final answer
    x = 11,297.09

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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.