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Finding the Fourth Proportional to 10,945, 15,104.12 and 5,977

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Solution

The fourth proportional to 10,945, 15,104.12 and 5,977 is: 8,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945 : 15,104.12 = 5,977 : x
  2. Step 2: Convert to fraction form
    10,945/15,104.12 = 5,977/x
  3. Step 3: Cross multiply
    10,945x = 15,104.12 × 5,977
  4. Step 4: Simplify right side
    10,945x = 90,277,325.24
  5. Step 5: Solve for x
    x = 90,277,325.24/10,945
  6. Step 6: Final answer
    x = 8,248.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.