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Finding the Fourth Proportional to 13,470.40, 20,185.80 and 9,780.40

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Solution

The fourth proportional to 13,470.40, 20,185.80 and 9,780.40 is: 14,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.40 : 20,185.80 = 9,780.40 : x
  2. Step 2: Convert to fraction form
    13,470.40/20,185.80 = 9,780.40/x
  3. Step 3: Cross multiply
    13,470.40x = 20,185.80 × 9,780.40
  4. Step 4: Simplify right side
    13,470.40x = 197,425,198.32
  5. Step 5: Solve for x
    x = 197,425,198.32/13,470.40
  6. Step 6: Final answer
    x = 14,656.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.