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Finding the Fourth Proportional to 2,478.76, 3,718.56 and 835.46

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Solution

The fourth proportional to 2,478.76, 3,718.56 and 835.46 is: 1,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.76 : 3,718.56 = 835.46 : x
  2. Step 2: Convert to fraction form
    2,478.76/3,718.56 = 835.46/x
  3. Step 3: Cross multiply
    2,478.76x = 3,718.56 × 835.46
  4. Step 4: Simplify right side
    2,478.76x = 3,106,708.14
  5. Step 5: Solve for x
    x = 3,106,708.14/2,478.76
  6. Step 6: Final answer
    x = 1,253.33

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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.