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Finding the Fourth Proportional to 11,536.42, 15,914.73 and 7,555.78

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Solution

The fourth proportional to 11,536.42, 15,914.73 and 7,555.78 is: 10,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.42 : 15,914.73 = 7,555.78 : x
  2. Step 2: Convert to fraction form
    11,536.42/15,914.73 = 7,555.78/x
  3. Step 3: Cross multiply
    11,536.42x = 15,914.73 × 7,555.78
  4. Step 4: Simplify right side
    11,536.42x = 120,248,198.64
  5. Step 5: Solve for x
    x = 120,248,198.64/11,536.42
  6. Step 6: Final answer
    x = 10,423.35

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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.