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Finding the Fourth Proportional to 4,689.83, 7,032.92 and 1,766.54

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Solution

The fourth proportional to 4,689.83, 7,032.92 and 1,766.54 is: 2,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.83 : 7,032.92 = 1,766.54 : x
  2. Step 2: Convert to fraction form
    4,689.83/7,032.92 = 1,766.54/x
  3. Step 3: Cross multiply
    4,689.83x = 7,032.92 × 1,766.54
  4. Step 4: Simplify right side
    4,689.83x = 12,423,890.50
  5. Step 5: Solve for x
    x = 12,423,890.50/4,689.83
  6. Step 6: Final answer
    x = 2,649.12

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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.