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Finding the Fourth Proportional to 7,163.99, 9,878.32 and 4,642.79

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Solution

The fourth proportional to 7,163.99, 9,878.32 and 4,642.79 is: 6,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.99 : 9,878.32 = 4,642.79 : x
  2. Step 2: Convert to fraction form
    7,163.99/9,878.32 = 4,642.79/x
  3. Step 3: Cross multiply
    7,163.99x = 9,878.32 × 4,642.79
  4. Step 4: Simplify right side
    7,163.99x = 45,862,978.40
  5. Step 5: Solve for x
    x = 45,862,978.40/7,163.99
  6. Step 6: Final answer
    x = 6,401.87

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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.