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Finding the Fourth Proportional to 13,442, 18,548.90 and 7,473.30

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Solution

The fourth proportional to 13,442, 18,548.90 and 7,473.30 is: 10,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442 : 18,548.90 = 7,473.30 : x
  2. Step 2: Convert to fraction form
    13,442/18,548.90 = 7,473.30/x
  3. Step 3: Cross multiply
    13,442x = 18,548.90 × 7,473.30
  4. Step 4: Simplify right side
    13,442x = 138,621,494.37
  5. Step 5: Solve for x
    x = 138,621,494.37/13,442
  6. Step 6: Final answer
    x = 10,312.56

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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.