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Finding the Fourth Proportional to 4,500.79, 6,729 and 3,815.13

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Solution

The fourth proportional to 4,500.79, 6,729 and 3,815.13 is: 5,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.79 : 6,729 = 3,815.13 : x
  2. Step 2: Convert to fraction form
    4,500.79/6,729 = 3,815.13/x
  3. Step 3: Cross multiply
    4,500.79x = 6,729 × 3,815.13
  4. Step 4: Simplify right side
    4,500.79x = 25,672,009.77
  5. Step 5: Solve for x
    x = 25,672,009.77/4,500.79
  6. Step 6: Final answer
    x = 5,703.89

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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.