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Finding the Fourth Proportional to 12,996.92, 19,506.54 and 5,211.08

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Solution

The fourth proportional to 12,996.92, 19,506.54 and 5,211.08 is: 7,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.92 : 19,506.54 = 5,211.08 : x
  2. Step 2: Convert to fraction form
    12,996.92/19,506.54 = 5,211.08/x
  3. Step 3: Cross multiply
    12,996.92x = 19,506.54 × 5,211.08
  4. Step 4: Simplify right side
    12,996.92x = 101,650,140.46
  5. Step 5: Solve for x
    x = 101,650,140.46/12,996.92
  6. Step 6: Final answer
    x = 7,821.09

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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.