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Finding the Fourth Proportional to 3,145.68, 4,716.50 and 953.82

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Solution

The fourth proportional to 3,145.68, 4,716.50 and 953.82 is: 1,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,716.50 = 953.82 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,716.50 = 953.82/x
  3. Step 3: Cross multiply
    3,145.68x = 4,716.50 × 953.82
  4. Step 4: Simplify right side
    3,145.68x = 4,498,687.26
  5. Step 5: Solve for x
    x = 4,498,687.26/3,145.68
  6. Step 6: Final answer
    x = 1,430.12

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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.