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Finding the Fourth Proportional to 3,061.50, 4,225.23 and 1,717.48

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Solution

The fourth proportional to 3,061.50, 4,225.23 and 1,717.48 is: 2,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.50 : 4,225.23 = 1,717.48 : x
  2. Step 2: Convert to fraction form
    3,061.50/4,225.23 = 1,717.48/x
  3. Step 3: Cross multiply
    3,061.50x = 4,225.23 × 1,717.48
  4. Step 4: Simplify right side
    3,061.50x = 7,256,739.43
  5. Step 5: Solve for x
    x = 7,256,739.43/3,061.50
  6. Step 6: Final answer
    x = 2,370.32

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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.