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Finding the Fourth Proportional to 3,854.57, 5,782.76 and 1,257.50

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Solution

The fourth proportional to 3,854.57, 5,782.76 and 1,257.50 is: 1,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.57 : 5,782.76 = 1,257.50 : x
  2. Step 2: Convert to fraction form
    3,854.57/5,782.76 = 1,257.50/x
  3. Step 3: Cross multiply
    3,854.57x = 5,782.76 × 1,257.50
  4. Step 4: Simplify right side
    3,854.57x = 7,271,814.41
  5. Step 5: Solve for x
    x = 7,271,814.41/3,854.57
  6. Step 6: Final answer
    x = 1,886.55

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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.