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Finding the Fourth Proportional to 10,425, 15,632.64 and 3,494.64

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Solution

The fourth proportional to 10,425, 15,632.64 and 3,494.64 is: 5,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 15,632.64 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    10,425/15,632.64 = 3,494.64/x
  3. Step 3: Cross multiply
    10,425x = 15,632.64 × 3,494.64
  4. Step 4: Simplify right side
    10,425x = 54,630,449.05
  5. Step 5: Solve for x
    x = 54,630,449.05/10,425
  6. Step 6: Final answer
    x = 5,240.33

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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.