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Finding the Fourth Proportional to 3,257.72, 4,886.06 and 948.68

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Solution

The fourth proportional to 3,257.72, 4,886.06 and 948.68 is: 1,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 4,886.06 = 948.68 : x
  2. Step 2: Convert to fraction form
    3,257.72/4,886.06 = 948.68/x
  3. Step 3: Cross multiply
    3,257.72x = 4,886.06 × 948.68
  4. Step 4: Simplify right side
    3,257.72x = 4,635,307.40
  5. Step 5: Solve for x
    x = 4,635,307.40/3,257.72
  6. Step 6: Final answer
    x = 1,422.87

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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.