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Finding the Fourth Proportional to 3,144.77, 4,717.14 and 953.49

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Solution

The fourth proportional to 3,144.77, 4,717.14 and 953.49 is: 1,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.77 : 4,717.14 = 953.49 : x
  2. Step 2: Convert to fraction form
    3,144.77/4,717.14 = 953.49/x
  3. Step 3: Cross multiply
    3,144.77x = 4,717.14 × 953.49
  4. Step 4: Simplify right side
    3,144.77x = 4,497,745.82
  5. Step 5: Solve for x
    x = 4,497,745.82/3,144.77
  6. Step 6: Final answer
    x = 1,430.23

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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.