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Finding the Fourth Proportional to 7,142.50, 9,860.97 and 4,662.82

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Solution

The fourth proportional to 7,142.50, 9,860.97 and 4,662.82 is: 6,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.50 : 9,860.97 = 4,662.82 : x
  2. Step 2: Convert to fraction form
    7,142.50/9,860.97 = 4,662.82/x
  3. Step 3: Cross multiply
    7,142.50x = 9,860.97 × 4,662.82
  4. Step 4: Simplify right side
    7,142.50x = 45,979,928.14
  5. Step 5: Solve for x
    x = 45,979,928.14/7,142.50
  6. Step 6: Final answer
    x = 6,437.51

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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.