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Finding the Fourth Proportional to 3,907.34, 5,860.94 and 985.64

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Solution

The fourth proportional to 3,907.34, 5,860.94 and 985.64 is: 1,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.34 : 5,860.94 = 985.64 : x
  2. Step 2: Convert to fraction form
    3,907.34/5,860.94 = 985.64/x
  3. Step 3: Cross multiply
    3,907.34x = 5,860.94 × 985.64
  4. Step 4: Simplify right side
    3,907.34x = 5,776,776.90
  5. Step 5: Solve for x
    x = 5,776,776.90/3,907.34
  6. Step 6: Final answer
    x = 1,478.44

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1.5x scale

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.