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Finding the Fourth Proportional to 7,707.90, 11,561.90 and 2,513.78

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Solution

The fourth proportional to 7,707.90, 11,561.90 and 2,513.78 is: 3,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.90 : 11,561.90 = 2,513.78 : x
  2. Step 2: Convert to fraction form
    7,707.90/11,561.90 = 2,513.78/x
  3. Step 3: Cross multiply
    7,707.90x = 11,561.90 × 2,513.78
  4. Step 4: Simplify right side
    7,707.90x = 29,064,072.98
  5. Step 5: Solve for x
    x = 29,064,072.98/7,707.90
  6. Step 6: Final answer
    x = 3,770.69

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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.