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Finding the Fourth Proportional to 7,235.50, 9,985 and 3,923.50

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Solution

The fourth proportional to 7,235.50, 9,985 and 3,923.50 is: 5,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.50 : 9,985 = 3,923.50 : x
  2. Step 2: Convert to fraction form
    7,235.50/9,985 = 3,923.50/x
  3. Step 3: Cross multiply
    7,235.50x = 9,985 × 3,923.50
  4. Step 4: Simplify right side
    7,235.50x = 39,176,147.50
  5. Step 5: Solve for x
    x = 39,176,147.50/7,235.50
  6. Step 6: Final answer
    x = 5,414.44

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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.