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Finding the Fourth Proportional to 3,257, 4,886.64 and 1,065.72

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Solution

The fourth proportional to 3,257, 4,886.64 and 1,065.72 is: 1,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,886.64 = 1,065.72 : x
  2. Step 2: Convert to fraction form
    3,257/4,886.64 = 1,065.72/x
  3. Step 3: Cross multiply
    3,257x = 4,886.64 × 1,065.72
  4. Step 4: Simplify right side
    3,257x = 5,207,789.98
  5. Step 5: Solve for x
    x = 5,207,789.98/3,257
  6. Step 6: Final answer
    x = 1,598.95

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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.