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Finding the Fourth Proportional to 13,420.20, 20,130.30 and 9,964.20

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Solution

The fourth proportional to 13,420.20, 20,130.30 and 9,964.20 is: 14,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.20 : 20,130.30 = 9,964.20 : x
  2. Step 2: Convert to fraction form
    13,420.20/20,130.30 = 9,964.20/x
  3. Step 3: Cross multiply
    13,420.20x = 20,130.30 × 9,964.20
  4. Step 4: Simplify right side
    13,420.20x = 200,582,335.26
  5. Step 5: Solve for x
    x = 200,582,335.26/13,420.20
  6. Step 6: Final answer
    x = 14,946.30

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Similar ratio
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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.