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Finding the Fourth Proportional to 12,698.49, 18,970.51 and 8,219.67

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Solution

The fourth proportional to 12,698.49, 18,970.51 and 8,219.67 is: 12,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.49 : 18,970.51 = 8,219.67 : x
  2. Step 2: Convert to fraction form
    12,698.49/18,970.51 = 8,219.67/x
  3. Step 3: Cross multiply
    12,698.49x = 18,970.51 × 8,219.67
  4. Step 4: Simplify right side
    12,698.49x = 155,931,195.98
  5. Step 5: Solve for x
    x = 155,931,195.98/12,698.49
  6. Step 6: Final answer
    x = 12,279.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.