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Finding the Fourth Proportional to 3,907.68, 5,861.50 and 985.99

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Solution

The fourth proportional to 3,907.68, 5,861.50 and 985.99 is: 1,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.68 : 5,861.50 = 985.99 : x
  2. Step 2: Convert to fraction form
    3,907.68/5,861.50 = 985.99/x
  3. Step 3: Cross multiply
    3,907.68x = 5,861.50 × 985.99
  4. Step 4: Simplify right side
    3,907.68x = 5,779,380.39
  5. Step 5: Solve for x
    x = 5,779,380.39/3,907.68
  6. Step 6: Final answer
    x = 1,478.98

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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.