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Finding the Fourth Proportional to 7,581.84, 11,310.54 and 7,051.56

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Solution

The fourth proportional to 7,581.84, 11,310.54 and 7,051.56 is: 10,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.84 : 11,310.54 = 7,051.56 : x
  2. Step 2: Convert to fraction form
    7,581.84/11,310.54 = 7,051.56/x
  3. Step 3: Cross multiply
    7,581.84x = 11,310.54 × 7,051.56
  4. Step 4: Simplify right side
    7,581.84x = 79,756,951.44
  5. Step 5: Solve for x
    x = 79,756,951.44/7,581.84
  6. Step 6: Final answer
    x = 10,519.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.