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Finding the Fourth Proportional to 3,125.75, 4,688.50 and 785.77

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Solution

The fourth proportional to 3,125.75, 4,688.50 and 785.77 is: 1,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.75 : 4,688.50 = 785.77 : x
  2. Step 2: Convert to fraction form
    3,125.75/4,688.50 = 785.77/x
  3. Step 3: Cross multiply
    3,125.75x = 4,688.50 × 785.77
  4. Step 4: Simplify right side
    3,125.75x = 3,684,082.65
  5. Step 5: Solve for x
    x = 3,684,082.65/3,125.75
  6. Step 6: Final answer
    x = 1,178.62

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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.