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Finding the Fourth Proportional to 5,115.97, 7,677.20 and 1,828.99

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Solution

The fourth proportional to 5,115.97, 7,677.20 and 1,828.99 is: 2,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.97 : 7,677.20 = 1,828.99 : x
  2. Step 2: Convert to fraction form
    5,115.97/7,677.20 = 1,828.99/x
  3. Step 3: Cross multiply
    5,115.97x = 7,677.20 × 1,828.99
  4. Step 4: Simplify right side
    5,115.97x = 14,041,522.03
  5. Step 5: Solve for x
    x = 14,041,522.03/5,115.97
  6. Step 6: Final answer
    x = 2,744.65

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1.5x scale

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.