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Finding the Fourth Proportional to 4,886.58, 7,328.37 and 1,766.21

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Solution

The fourth proportional to 4,886.58, 7,328.37 and 1,766.21 is: 2,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.58 : 7,328.37 = 1,766.21 : x
  2. Step 2: Convert to fraction form
    4,886.58/7,328.37 = 1,766.21/x
  3. Step 3: Cross multiply
    4,886.58x = 7,328.37 × 1,766.21
  4. Step 4: Simplify right side
    4,886.58x = 12,943,403.74
  5. Step 5: Solve for x
    x = 12,943,403.74/4,886.58
  6. Step 6: Final answer
    x = 2,648.77

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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.