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Finding the Fourth Proportional to 3,925.62, 5,885.19 and 1,615.50

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Solution

The fourth proportional to 3,925.62, 5,885.19 and 1,615.50 is: 2,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.62 : 5,885.19 = 1,615.50 : x
  2. Step 2: Convert to fraction form
    3,925.62/5,885.19 = 1,615.50/x
  3. Step 3: Cross multiply
    3,925.62x = 5,885.19 × 1,615.50
  4. Step 4: Simplify right side
    3,925.62x = 9,507,524.45
  5. Step 5: Solve for x
    x = 9,507,524.45/3,925.62
  6. Step 6: Final answer
    x = 2,421.92

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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.