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Finding the Fourth Proportional to 3,170.56, 4,756.07 and 979.00

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Solution

The fourth proportional to 3,170.56, 4,756.07 and 979.00 is: 1,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.56 : 4,756.07 = 979.00 : x
  2. Step 2: Convert to fraction form
    3,170.56/4,756.07 = 979.00/x
  3. Step 3: Cross multiply
    3,170.56x = 4,756.07 × 979.00
  4. Step 4: Simplify right side
    3,170.56x = 4,656,199.53
  5. Step 5: Solve for x
    x = 4,656,199.53/3,170.56
  6. Step 6: Final answer
    x = 1,468.57

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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.