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Finding the Fourth Proportional to 3,145.36, 4,716.78 and 953.32

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Solution

The fourth proportional to 3,145.36, 4,716.78 and 953.32 is: 1,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.36 : 4,716.78 = 953.32 : x
  2. Step 2: Convert to fraction form
    3,145.36/4,716.78 = 953.32/x
  3. Step 3: Cross multiply
    3,145.36x = 4,716.78 × 953.32
  4. Step 4: Simplify right side
    3,145.36x = 4,496,600.71
  5. Step 5: Solve for x
    x = 4,496,600.71/3,145.36
  6. Step 6: Final answer
    x = 1,429.60

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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.