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Finding the Fourth Proportional to 3,248.73, 4,873.09 and 783.55

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Solution

The fourth proportional to 3,248.73, 4,873.09 and 783.55 is: 1,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.73 : 4,873.09 = 783.55 : x
  2. Step 2: Convert to fraction form
    3,248.73/4,873.09 = 783.55/x
  3. Step 3: Cross multiply
    3,248.73x = 4,873.09 × 783.55
  4. Step 4: Simplify right side
    3,248.73x = 3,818,299.36
  5. Step 5: Solve for x
    x = 3,818,299.36/3,248.73
  6. Step 6: Final answer
    x = 1,175.32

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1.5x scale

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.