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Finding the Fourth Proportional to 3,290.50, 4,929.24 and 1,728.16

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Solution

The fourth proportional to 3,290.50, 4,929.24 and 1,728.16 is: 2,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.50 : 4,929.24 = 1,728.16 : x
  2. Step 2: Convert to fraction form
    3,290.50/4,929.24 = 1,728.16/x
  3. Step 3: Cross multiply
    3,290.50x = 4,929.24 × 1,728.16
  4. Step 4: Simplify right side
    3,290.50x = 8,518,515.40
  5. Step 5: Solve for x
    x = 8,518,515.40/3,290.50
  6. Step 6: Final answer
    x = 2,588.82

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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.