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Finding the Fourth Proportional to 3,069.10, 4,604.38 and 877.77

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Solution

The fourth proportional to 3,069.10, 4,604.38 and 877.77 is: 1,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.10 : 4,604.38 = 877.77 : x
  2. Step 2: Convert to fraction form
    3,069.10/4,604.38 = 877.77/x
  3. Step 3: Cross multiply
    3,069.10x = 4,604.38 × 877.77
  4. Step 4: Simplify right side
    3,069.10x = 4,041,586.63
  5. Step 5: Solve for x
    x = 4,041,586.63/3,069.10
  6. Step 6: Final answer
    x = 1,316.86

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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.