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Finding the Fourth Proportional to 13,698, 18,903.24 and 7,410.38

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Solution

The fourth proportional to 13,698, 18,903.24 and 7,410.38 is: 10,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 18,903.24 = 7,410.38 : x
  2. Step 2: Convert to fraction form
    13,698/18,903.24 = 7,410.38/x
  3. Step 3: Cross multiply
    13,698x = 18,903.24 × 7,410.38
  4. Step 4: Simplify right side
    13,698x = 140,080,097.12
  5. Step 5: Solve for x
    x = 140,080,097.12/13,698
  6. Step 6: Final answer
    x = 10,226.32

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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.