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Finding the Fourth Proportional to 3,157.53, 4,730.91 and 1,770.00

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Solution

The fourth proportional to 3,157.53, 4,730.91 and 1,770.00 is: 2,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.53 : 4,730.91 = 1,770.00 : x
  2. Step 2: Convert to fraction form
    3,157.53/4,730.91 = 1,770.00/x
  3. Step 3: Cross multiply
    3,157.53x = 4,730.91 × 1,770.00
  4. Step 4: Simplify right side
    3,157.53x = 8,373,712.93
  5. Step 5: Solve for x
    x = 8,373,712.93/3,157.53
  6. Step 6: Final answer
    x = 2,651.98

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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.