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Finding the Fourth Proportional to 3,459.35, 5,188.26 and 993.62

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Solution

The fourth proportional to 3,459.35, 5,188.26 and 993.62 is: 1,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.35 : 5,188.26 = 993.62 : x
  2. Step 2: Convert to fraction form
    3,459.35/5,188.26 = 993.62/x
  3. Step 3: Cross multiply
    3,459.35x = 5,188.26 × 993.62
  4. Step 4: Simplify right side
    3,459.35x = 5,155,158.90
  5. Step 5: Solve for x
    x = 5,155,158.90/3,459.35
  6. Step 6: Final answer
    x = 1,490.21

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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.