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Finding the Fourth Proportional to 3,590.30, 5,385.75 and 993.24

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Solution

The fourth proportional to 3,590.30, 5,385.75 and 993.24 is: 1,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.30 : 5,385.75 = 993.24 : x
  2. Step 2: Convert to fraction form
    3,590.30/5,385.75 = 993.24/x
  3. Step 3: Cross multiply
    3,590.30x = 5,385.75 × 993.24
  4. Step 4: Simplify right side
    3,590.30x = 5,349,342.33
  5. Step 5: Solve for x
    x = 5,349,342.33/3,590.30
  6. Step 6: Final answer
    x = 1,489.94

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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.