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Finding the Fourth Proportional to 12,913.14, 19,380.08 and 6,674.98

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Solution

The fourth proportional to 12,913.14, 19,380.08 and 6,674.98 is: 10,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.14 : 19,380.08 = 6,674.98 : x
  2. Step 2: Convert to fraction form
    12,913.14/19,380.08 = 6,674.98/x
  3. Step 3: Cross multiply
    12,913.14x = 19,380.08 × 6,674.98
  4. Step 4: Simplify right side
    12,913.14x = 129,361,549.50
  5. Step 5: Solve for x
    x = 129,361,549.50/12,913.14
  6. Step 6: Final answer
    x = 10,017.83

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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.