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Finding the Fourth Proportional to 3,063.89, 4,595.99 and 872.77

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Solution

The fourth proportional to 3,063.89, 4,595.99 and 872.77 is: 1,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.89 : 4,595.99 = 872.77 : x
  2. Step 2: Convert to fraction form
    3,063.89/4,595.99 = 872.77/x
  3. Step 3: Cross multiply
    3,063.89x = 4,595.99 × 872.77
  4. Step 4: Simplify right side
    3,063.89x = 4,011,242.19
  5. Step 5: Solve for x
    x = 4,011,242.19/3,063.89
  6. Step 6: Final answer
    x = 1,309.20

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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.