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Finding the Fourth Proportional to 3,472.50, 4,792.11 and 1,900.74

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Solution

The fourth proportional to 3,472.50, 4,792.11 and 1,900.74 is: 2,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.50 : 4,792.11 = 1,900.74 : x
  2. Step 2: Convert to fraction form
    3,472.50/4,792.11 = 1,900.74/x
  3. Step 3: Cross multiply
    3,472.50x = 4,792.11 × 1,900.74
  4. Step 4: Simplify right side
    3,472.50x = 9,108,555.16
  5. Step 5: Solve for x
    x = 9,108,555.16/3,472.50
  6. Step 6: Final answer
    x = 2,623.05

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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.