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Finding the Fourth Proportional to 4,152, 5,740.56 and 3,968.40

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Solution

The fourth proportional to 4,152, 5,740.56 and 3,968.40 is: 5,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 5,740.56 = 3,968.40 : x
  2. Step 2: Convert to fraction form
    4,152/5,740.56 = 3,968.40/x
  3. Step 3: Cross multiply
    4,152x = 5,740.56 × 3,968.40
  4. Step 4: Simplify right side
    4,152x = 22,780,838.30
  5. Step 5: Solve for x
    x = 22,780,838.30/4,152
  6. Step 6: Final answer
    x = 5,486.71

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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.