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Finding the Fourth Proportional to 2,478.47, 3,717.88 and 835

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Solution

The fourth proportional to 2,478.47, 3,717.88 and 835 is: 1,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.47 : 3,717.88 = 835 : x
  2. Step 2: Convert to fraction form
    2,478.47/3,717.88 = 835/x
  3. Step 3: Cross multiply
    2,478.47x = 3,717.88 × 835
  4. Step 4: Simplify right side
    2,478.47x = 3,104,429.80
  5. Step 5: Solve for x
    x = 3,104,429.80/2,478.47
  6. Step 6: Final answer
    x = 1,252.56

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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.