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Finding the Fourth Proportional to 7,751.40, 11,620.56 and 5,404.50

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Solution

The fourth proportional to 7,751.40, 11,620.56 and 5,404.50 is: 8,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.40 : 11,620.56 = 5,404.50 : x
  2. Step 2: Convert to fraction form
    7,751.40/11,620.56 = 5,404.50/x
  3. Step 3: Cross multiply
    7,751.40x = 11,620.56 × 5,404.50
  4. Step 4: Simplify right side
    7,751.40x = 62,803,316.52
  5. Step 5: Solve for x
    x = 62,803,316.52/7,751.40
  6. Step 6: Final answer
    x = 8,102.19

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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.