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Finding the Fourth Proportional to 12,760, 19,105.70 and 7,205.04

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Solution

The fourth proportional to 12,760, 19,105.70 and 7,205.04 is: 10,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760 : 19,105.70 = 7,205.04 : x
  2. Step 2: Convert to fraction form
    12,760/19,105.70 = 7,205.04/x
  3. Step 3: Cross multiply
    12,760x = 19,105.70 × 7,205.04
  4. Step 4: Simplify right side
    12,760x = 137,657,332.73
  5. Step 5: Solve for x
    x = 137,657,332.73/12,760
  6. Step 6: Final answer
    x = 10,788.19

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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.