Home / 12,012.48-16,578-7,972.38

Finding the Fourth Proportional to 12,012.48, 16,578 and 7,972.38

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Solution

The fourth proportional to 12,012.48, 16,578 and 7,972.38 is: 11,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.48 : 16,578 = 7,972.38 : x
  2. Step 2: Convert to fraction form
    12,012.48/16,578 = 7,972.38/x
  3. Step 3: Cross multiply
    12,012.48x = 16,578 × 7,972.38
  4. Step 4: Simplify right side
    12,012.48x = 132,166,115.64
  5. Step 5: Solve for x
    x = 132,166,115.64/12,012.48
  6. Step 6: Final answer
    x = 11,002.40

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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.