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Finding the Fourth Proportional to 1,747.61, 2,409.74 and 1,274.67

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Solution

The fourth proportional to 1,747.61, 2,409.74 and 1,274.67 is: 1,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.61 : 2,409.74 = 1,274.67 : x
  2. Step 2: Convert to fraction form
    1,747.61/2,409.74 = 1,274.67/x
  3. Step 3: Cross multiply
    1,747.61x = 2,409.74 × 1,274.67
  4. Step 4: Simplify right side
    1,747.61x = 3,071,623.29
  5. Step 5: Solve for x
    x = 3,071,623.29/1,747.61
  6. Step 6: Final answer
    x = 1,757.61

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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.