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Finding the Fourth Proportional to 13,204.80, 19,802.08 and 5,410.88

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Solution

The fourth proportional to 13,204.80, 19,802.08 and 5,410.88 is: 8,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.80 : 19,802.08 = 5,410.88 : x
  2. Step 2: Convert to fraction form
    13,204.80/19,802.08 = 5,410.88/x
  3. Step 3: Cross multiply
    13,204.80x = 19,802.08 × 5,410.88
  4. Step 4: Simplify right side
    13,204.80x = 107,146,678.63
  5. Step 5: Solve for x
    x = 107,146,678.63/13,204.80
  6. Step 6: Final answer
    x = 8,114.22

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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.