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Finding the Fourth Proportional to 7,267.42, 10,899.78 and 1,930.63

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Solution

The fourth proportional to 7,267.42, 10,899.78 and 1,930.63 is: 2,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.42 : 10,899.78 = 1,930.63 : x
  2. Step 2: Convert to fraction form
    7,267.42/10,899.78 = 1,930.63/x
  3. Step 3: Cross multiply
    7,267.42x = 10,899.78 × 1,930.63
  4. Step 4: Simplify right side
    7,267.42x = 21,043,442.26
  5. Step 5: Solve for x
    x = 21,043,442.26/7,267.42
  6. Step 6: Final answer
    x = 2,895.59

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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.