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Finding the Fourth Proportional to 12,698.98, 19,048.97 and 5,677.80

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Solution

The fourth proportional to 12,698.98, 19,048.97 and 5,677.80 is: 8,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.98 : 19,048.97 = 5,677.80 : x
  2. Step 2: Convert to fraction form
    12,698.98/19,048.97 = 5,677.80/x
  3. Step 3: Cross multiply
    12,698.98x = 19,048.97 × 5,677.80
  4. Step 4: Simplify right side
    12,698.98x = 108,156,184.63
  5. Step 5: Solve for x
    x = 108,156,184.63/12,698.98
  6. Step 6: Final answer
    x = 8,516.92

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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.