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Finding the Fourth Proportional to 7,880.62, 11,828.22 and 3,987.76

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Solution

The fourth proportional to 7,880.62, 11,828.22 and 3,987.76 is: 5,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.62 : 11,828.22 = 3,987.76 : x
  2. Step 2: Convert to fraction form
    7,880.62/11,828.22 = 3,987.76/x
  3. Step 3: Cross multiply
    7,880.62x = 11,828.22 × 3,987.76
  4. Step 4: Simplify right side
    7,880.62x = 47,168,102.59
  5. Step 5: Solve for x
    x = 47,168,102.59/7,880.62
  6. Step 6: Final answer
    x = 5,985.33

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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.