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Finding the Fourth Proportional to 2,478.64, 3,718.41 and 835.06

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Solution

The fourth proportional to 2,478.64, 3,718.41 and 835.06 is: 1,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.64 : 3,718.41 = 835.06 : x
  2. Step 2: Convert to fraction form
    2,478.64/3,718.41 = 835.06/x
  3. Step 3: Cross multiply
    2,478.64x = 3,718.41 × 835.06
  4. Step 4: Simplify right side
    2,478.64x = 3,105,095.45
  5. Step 5: Solve for x
    x = 3,105,095.45/2,478.64
  6. Step 6: Final answer
    x = 1,252.74

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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.