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Finding the Fourth Proportional to 12,767.70, 17,620.11 and 7,465.62

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Solution

The fourth proportional to 12,767.70, 17,620.11 and 7,465.62 is: 10,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.70 : 17,620.11 = 7,465.62 : x
  2. Step 2: Convert to fraction form
    12,767.70/17,620.11 = 7,465.62/x
  3. Step 3: Cross multiply
    12,767.70x = 17,620.11 × 7,465.62
  4. Step 4: Simplify right side
    12,767.70x = 131,545,045.62
  5. Step 5: Solve for x
    x = 131,545,045.62/12,767.70
  6. Step 6: Final answer
    x = 10,302.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.