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Finding the Fourth Proportional to 10,775.76, 16,167.03 and 6,851.49

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Solution

The fourth proportional to 10,775.76, 16,167.03 and 6,851.49 is: 10,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.76 : 16,167.03 = 6,851.49 : x
  2. Step 2: Convert to fraction form
    10,775.76/16,167.03 = 6,851.49/x
  3. Step 3: Cross multiply
    10,775.76x = 16,167.03 × 6,851.49
  4. Step 4: Simplify right side
    10,775.76x = 110,768,244.37
  5. Step 5: Solve for x
    x = 110,768,244.37/10,775.76
  6. Step 6: Final answer
    x = 10,279.39

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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.