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Finding the Fourth Proportional to 7,536.50, 11,307.12 and 3,380

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Solution

The fourth proportional to 7,536.50, 11,307.12 and 3,380 is: 5,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.50 : 11,307.12 = 3,380 : x
  2. Step 2: Convert to fraction form
    7,536.50/11,307.12 = 3,380/x
  3. Step 3: Cross multiply
    7,536.50x = 11,307.12 × 3,380
  4. Step 4: Simplify right side
    7,536.50x = 38,218,065.60
  5. Step 5: Solve for x
    x = 38,218,065.60/7,536.50
  6. Step 6: Final answer
    x = 5,071.06

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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.