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Finding the Fourth Proportional to 5,149.95, 7,721.99 and 1,639.28

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Solution

The fourth proportional to 5,149.95, 7,721.99 and 1,639.28 is: 2,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.95 : 7,721.99 = 1,639.28 : x
  2. Step 2: Convert to fraction form
    5,149.95/7,721.99 = 1,639.28/x
  3. Step 3: Cross multiply
    5,149.95x = 7,721.99 × 1,639.28
  4. Step 4: Simplify right side
    5,149.95x = 12,658,503.77
  5. Step 5: Solve for x
    x = 12,658,503.77/5,149.95
  6. Step 6: Final answer
    x = 2,457.99

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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.