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Finding the Fourth Proportional to 7,678.99, 10,603.11 and 5,163.31

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Solution

The fourth proportional to 7,678.99, 10,603.11 and 5,163.31 is: 7,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.99 : 10,603.11 = 5,163.31 : x
  2. Step 2: Convert to fraction form
    7,678.99/10,603.11 = 5,163.31/x
  3. Step 3: Cross multiply
    7,678.99x = 10,603.11 × 5,163.31
  4. Step 4: Simplify right side
    7,678.99x = 54,747,143.89
  5. Step 5: Solve for x
    x = 54,747,143.89/7,678.99
  6. Step 6: Final answer
    x = 7,129.47

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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.