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Finding the Fourth Proportional to 4,642.62, 6,964.22 and 1,869.29

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Solution

The fourth proportional to 4,642.62, 6,964.22 and 1,869.29 is: 2,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.62 : 6,964.22 = 1,869.29 : x
  2. Step 2: Convert to fraction form
    4,642.62/6,964.22 = 1,869.29/x
  3. Step 3: Cross multiply
    4,642.62x = 6,964.22 × 1,869.29
  4. Step 4: Simplify right side
    4,642.62x = 13,018,146.80
  5. Step 5: Solve for x
    x = 13,018,146.80/4,642.62
  6. Step 6: Final answer
    x = 2,804.05

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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.