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Finding the Fourth Proportional to 5,145.53, 7,097.22 and 4,974.21

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Solution

The fourth proportional to 5,145.53, 7,097.22 and 4,974.21 is: 6,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.53 : 7,097.22 = 4,974.21 : x
  2. Step 2: Convert to fraction form
    5,145.53/7,097.22 = 4,974.21/x
  3. Step 3: Cross multiply
    5,145.53x = 7,097.22 × 4,974.21
  4. Step 4: Simplify right side
    5,145.53x = 35,303,062.70
  5. Step 5: Solve for x
    x = 35,303,062.70/5,145.53
  6. Step 6: Final answer
    x = 6,860.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.