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Finding the Fourth Proportional to 7,121.76, 9,878.40 and 6,885.60

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Solution

The fourth proportional to 7,121.76, 9,878.40 and 6,885.60 is: 9,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.76 : 9,878.40 = 6,885.60 : x
  2. Step 2: Convert to fraction form
    7,121.76/9,878.40 = 6,885.60/x
  3. Step 3: Cross multiply
    7,121.76x = 9,878.40 × 6,885.60
  4. Step 4: Simplify right side
    7,121.76x = 68,018,711.04
  5. Step 5: Solve for x
    x = 68,018,711.04/7,121.76
  6. Step 6: Final answer
    x = 9,550.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.