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Finding the Fourth Proportional to 3,459.90, 5,190.54 and 994.74

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Solution

The fourth proportional to 3,459.90, 5,190.54 and 994.74 is: 1,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.90 : 5,190.54 = 994.74 : x
  2. Step 2: Convert to fraction form
    3,459.90/5,190.54 = 994.74/x
  3. Step 3: Cross multiply
    3,459.90x = 5,190.54 × 994.74
  4. Step 4: Simplify right side
    3,459.90x = 5,163,237.76
  5. Step 5: Solve for x
    x = 5,163,237.76/3,459.90
  6. Step 6: Final answer
    x = 1,492.31

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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.