Home / 12,013.56-16,578-6,977.43

Finding the Fourth Proportional to 12,013.56, 16,578 and 6,977.43

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Solution

The fourth proportional to 12,013.56, 16,578 and 6,977.43 is: 9,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.56 : 16,578 = 6,977.43 : x
  2. Step 2: Convert to fraction form
    12,013.56/16,578 = 6,977.43/x
  3. Step 3: Cross multiply
    12,013.56x = 16,578 × 6,977.43
  4. Step 4: Simplify right side
    12,013.56x = 115,671,834.54
  5. Step 5: Solve for x
    x = 115,671,834.54/12,013.56
  6. Step 6: Final answer
    x = 9,628.44

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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.