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Finding the Fourth Proportional to 2,478.34, 3,717.74 and 835.39

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Solution

The fourth proportional to 2,478.34, 3,717.74 and 835.39 is: 1,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.34 : 3,717.74 = 835.39 : x
  2. Step 2: Convert to fraction form
    2,478.34/3,717.74 = 835.39/x
  3. Step 3: Cross multiply
    2,478.34x = 3,717.74 × 835.39
  4. Step 4: Simplify right side
    2,478.34x = 3,105,755.61
  5. Step 5: Solve for x
    x = 3,105,755.61/2,478.34
  6. Step 6: Final answer
    x = 1,253.16

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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.