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Finding the Fourth Proportional to 3,145, 4,717.32 and 953.68

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Solution

The fourth proportional to 3,145, 4,717.32 and 953.68 is: 1,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 4,717.32 = 953.68 : x
  2. Step 2: Convert to fraction form
    3,145/4,717.32 = 953.68/x
  3. Step 3: Cross multiply
    3,145x = 4,717.32 × 953.68
  4. Step 4: Simplify right side
    3,145x = 4,498,813.74
  5. Step 5: Solve for x
    x = 4,498,813.74/3,145
  6. Step 6: Final answer
    x = 1,430.47

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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.