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Finding the Fourth Proportional to 13,698.02, 18,903.30 and 7,410.40

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Solution

The fourth proportional to 13,698.02, 18,903.30 and 7,410.40 is: 10,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.02 : 18,903.30 = 7,410.40 : x
  2. Step 2: Convert to fraction form
    13,698.02/18,903.30 = 7,410.40/x
  3. Step 3: Cross multiply
    13,698.02x = 18,903.30 × 7,410.40
  4. Step 4: Simplify right side
    13,698.02x = 140,080,919.80
  5. Step 5: Solve for x
    x = 140,080,919.80/13,698.02
  6. Step 6: Final answer
    x = 10,226.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.