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Finding the Fourth Proportional to 7,686.09, 11,536.43 and 4,770.09

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Solution

The fourth proportional to 7,686.09, 11,536.43 and 4,770.09 is: 7,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.09 : 11,536.43 = 4,770.09 : x
  2. Step 2: Convert to fraction form
    7,686.09/11,536.43 = 4,770.09/x
  3. Step 3: Cross multiply
    7,686.09x = 11,536.43 × 4,770.09
  4. Step 4: Simplify right side
    7,686.09x = 55,029,785.53
  5. Step 5: Solve for x
    x = 55,029,785.53/7,686.09
  6. Step 6: Final answer
    x = 7,159.66

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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.