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Finding the Fourth Proportional to 12,775.70, 19,157.14 and 8,105.10

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Solution

The fourth proportional to 12,775.70, 19,157.14 and 8,105.10 is: 12,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.70 : 19,157.14 = 8,105.10 : x
  2. Step 2: Convert to fraction form
    12,775.70/19,157.14 = 8,105.10/x
  3. Step 3: Cross multiply
    12,775.70x = 19,157.14 × 8,105.10
  4. Step 4: Simplify right side
    12,775.70x = 155,270,535.41
  5. Step 5: Solve for x
    x = 155,270,535.41/12,775.70
  6. Step 6: Final answer
    x = 12,153.58

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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.