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Finding the Fourth Proportional to 3,590.21, 5,385.15 and 993.08

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Solution

The fourth proportional to 3,590.21, 5,385.15 and 993.08 is: 1,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.21 : 5,385.15 = 993.08 : x
  2. Step 2: Convert to fraction form
    3,590.21/5,385.15 = 993.08/x
  3. Step 3: Cross multiply
    3,590.21x = 5,385.15 × 993.08
  4. Step 4: Simplify right side
    3,590.21x = 5,347,857.84
  5. Step 5: Solve for x
    x = 5,347,857.84/3,590.21
  6. Step 6: Final answer
    x = 1,489.57

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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.