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Finding the Fourth Proportional to 5,135.77, 7,666.50 and 4,512.99

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Solution

The fourth proportional to 5,135.77, 7,666.50 and 4,512.99 is: 6,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.77 : 7,666.50 = 4,512.99 : x
  2. Step 2: Convert to fraction form
    5,135.77/7,666.50 = 4,512.99/x
  3. Step 3: Cross multiply
    5,135.77x = 7,666.50 × 4,512.99
  4. Step 4: Simplify right side
    5,135.77x = 34,598,809.09
  5. Step 5: Solve for x
    x = 34,598,809.09/5,135.77
  6. Step 6: Final answer
    x = 6,736.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.