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Finding the Fourth Proportional to 4,490.16, 6,734.16 and 1,891.68

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Solution

The fourth proportional to 4,490.16, 6,734.16 and 1,891.68 is: 2,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.16 : 6,734.16 = 1,891.68 : x
  2. Step 2: Convert to fraction form
    4,490.16/6,734.16 = 1,891.68/x
  3. Step 3: Cross multiply
    4,490.16x = 6,734.16 × 1,891.68
  4. Step 4: Simplify right side
    4,490.16x = 12,738,875.79
  5. Step 5: Solve for x
    x = 12,738,875.79/4,490.16
  6. Step 6: Final answer
    x = 2,837.07

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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.