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Finding the Fourth Proportional to 4,872.89, 7,310.09 and 1,585.22

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Solution

The fourth proportional to 4,872.89, 7,310.09 and 1,585.22 is: 2,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.89 : 7,310.09 = 1,585.22 : x
  2. Step 2: Convert to fraction form
    4,872.89/7,310.09 = 1,585.22/x
  3. Step 3: Cross multiply
    4,872.89x = 7,310.09 × 1,585.22
  4. Step 4: Simplify right side
    4,872.89x = 11,588,068.28
  5. Step 5: Solve for x
    x = 11,588,068.28/4,872.89
  6. Step 6: Final answer
    x = 2,378.07

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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.