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Finding the Fourth Proportional to 3,288.70, 4,929.90 and 1,095.90

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Solution

The fourth proportional to 3,288.70, 4,929.90 and 1,095.90 is: 1,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.70 : 4,929.90 = 1,095.90 : x
  2. Step 2: Convert to fraction form
    3,288.70/4,929.90 = 1,095.90/x
  3. Step 3: Cross multiply
    3,288.70x = 4,929.90 × 1,095.90
  4. Step 4: Simplify right side
    3,288.70x = 5,402,677.41
  5. Step 5: Solve for x
    x = 5,402,677.41/3,288.70
  6. Step 6: Final answer
    x = 1,642.80

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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.