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Finding the Fourth Proportional to 3,590.19, 5,385.30 and 993.06

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Solution

The fourth proportional to 3,590.19, 5,385.30 and 993.06 is: 1,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.19 : 5,385.30 = 993.06 : x
  2. Step 2: Convert to fraction form
    3,590.19/5,385.30 = 993.06/x
  3. Step 3: Cross multiply
    3,590.19x = 5,385.30 × 993.06
  4. Step 4: Simplify right side
    3,590.19x = 5,347,926.02
  5. Step 5: Solve for x
    x = 5,347,926.02/3,590.19
  6. Step 6: Final answer
    x = 1,489.59

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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.