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Finding the Fourth Proportional to 7,656, 11,485.62 and 2,462.28

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Solution

The fourth proportional to 7,656, 11,485.62 and 2,462.28 is: 3,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 11,485.62 = 2,462.28 : x
  2. Step 2: Convert to fraction form
    7,656/11,485.62 = 2,462.28/x
  3. Step 3: Cross multiply
    7,656x = 11,485.62 × 2,462.28
  4. Step 4: Simplify right side
    7,656x = 28,280,812.41
  5. Step 5: Solve for x
    x = 28,280,812.41/7,656
  6. Step 6: Final answer
    x = 3,693.94

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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.