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Finding the Fourth Proportional to 3,157.66, 4,733.07 and 1,307.80

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Solution

The fourth proportional to 3,157.66, 4,733.07 and 1,307.80 is: 1,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.66 : 4,733.07 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    3,157.66/4,733.07 = 1,307.80/x
  3. Step 3: Cross multiply
    3,157.66x = 4,733.07 × 1,307.80
  4. Step 4: Simplify right side
    3,157.66x = 6,189,908.95
  5. Step 5: Solve for x
    x = 6,189,908.95/3,157.66
  6. Step 6: Final answer
    x = 1,960.28

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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.