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Finding the Fourth Proportional to 3,153.85, 4,730.74 and 813.65

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Solution

The fourth proportional to 3,153.85, 4,730.74 and 813.65 is: 1,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.85 : 4,730.74 = 813.65 : x
  2. Step 2: Convert to fraction form
    3,153.85/4,730.74 = 813.65/x
  3. Step 3: Cross multiply
    3,153.85x = 4,730.74 × 813.65
  4. Step 4: Simplify right side
    3,153.85x = 3,849,176.86
  5. Step 5: Solve for x
    x = 3,849,176.86/3,153.85
  6. Step 6: Final answer
    x = 1,220.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.