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Finding the Fourth Proportional to 7,072.76, 10,609.14 and 1,878.50

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Solution

The fourth proportional to 7,072.76, 10,609.14 and 1,878.50 is: 2,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.76 : 10,609.14 = 1,878.50 : x
  2. Step 2: Convert to fraction form
    7,072.76/10,609.14 = 1,878.50/x
  3. Step 3: Cross multiply
    7,072.76x = 10,609.14 × 1,878.50
  4. Step 4: Simplify right side
    7,072.76x = 19,929,269.49
  5. Step 5: Solve for x
    x = 19,929,269.49/7,072.76
  6. Step 6: Final answer
    x = 2,817.75

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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.