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Finding the Fourth Proportional to 7,880.76, 11,828.42 and 3,987.88

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Solution

The fourth proportional to 7,880.76, 11,828.42 and 3,987.88 is: 5,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.76 : 11,828.42 = 3,987.88 : x
  2. Step 2: Convert to fraction form
    7,880.76/11,828.42 = 3,987.88/x
  3. Step 3: Cross multiply
    7,880.76x = 11,828.42 × 3,987.88
  4. Step 4: Simplify right side
    7,880.76x = 47,170,319.55
  5. Step 5: Solve for x
    x = 47,170,319.55/7,880.76
  6. Step 6: Final answer
    x = 5,985.50

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1.5x scale

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.