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Finding the Fourth Proportional to 13,432.80, 18,537.90 and 7,464.48

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Solution

The fourth proportional to 13,432.80, 18,537.90 and 7,464.48 is: 10,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.80 : 18,537.90 = 7,464.48 : x
  2. Step 2: Convert to fraction form
    13,432.80/18,537.90 = 7,464.48/x
  3. Step 3: Cross multiply
    13,432.80x = 18,537.90 × 7,464.48
  4. Step 4: Simplify right side
    13,432.80x = 138,375,783.79
  5. Step 5: Solve for x
    x = 138,375,783.79/13,432.80
  6. Step 6: Final answer
    x = 10,301.34

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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.