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Finding the Fourth Proportional to 19,491.80, 29,242.50 and 5,642.20

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Solution

The fourth proportional to 19,491.80, 29,242.50 and 5,642.20 is: 8,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.80 : 29,242.50 = 5,642.20 : x
  2. Step 2: Convert to fraction form
    19,491.80/29,242.50 = 5,642.20/x
  3. Step 3: Cross multiply
    19,491.80x = 29,242.50 × 5,642.20
  4. Step 4: Simplify right side
    19,491.80x = 164,992,033.50
  5. Step 5: Solve for x
    x = 164,992,033.50/19,491.80
  6. Step 6: Final answer
    x = 8,464.69

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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.