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Finding the Fourth Proportional to 3,199.70, 4,800.48 and 1,557.18

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Solution

The fourth proportional to 3,199.70, 4,800.48 and 1,557.18 is: 2,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.70 : 4,800.48 = 1,557.18 : x
  2. Step 2: Convert to fraction form
    3,199.70/4,800.48 = 1,557.18/x
  3. Step 3: Cross multiply
    3,199.70x = 4,800.48 × 1,557.18
  4. Step 4: Simplify right side
    3,199.70x = 7,475,211.45
  5. Step 5: Solve for x
    x = 7,475,211.45/3,199.70
  6. Step 6: Final answer
    x = 2,336.22

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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.