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Finding the Fourth Proportional to 3,205.65, 4,807.65 and 1,257.87

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Solution

The fourth proportional to 3,205.65, 4,807.65 and 1,257.87 is: 1,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.65 : 4,807.65 = 1,257.87 : x
  2. Step 2: Convert to fraction form
    3,205.65/4,807.65 = 1,257.87/x
  3. Step 3: Cross multiply
    3,205.65x = 4,807.65 × 1,257.87
  4. Step 4: Simplify right side
    3,205.65x = 6,047,398.71
  5. Step 5: Solve for x
    x = 6,047,398.71/3,205.65
  6. Step 6: Final answer
    x = 1,886.48

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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.