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Finding the Fourth Proportional to 19,763.25, 29,642.68 and 4,972.16

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Solution

The fourth proportional to 19,763.25, 29,642.68 and 4,972.16 is: 7,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.25 : 29,642.68 = 4,972.16 : x
  2. Step 2: Convert to fraction form
    19,763.25/29,642.68 = 4,972.16/x
  3. Step 3: Cross multiply
    19,763.25x = 29,642.68 × 4,972.16
  4. Step 4: Simplify right side
    19,763.25x = 147,388,147.79
  5. Step 5: Solve for x
    x = 147,388,147.79/19,763.25
  6. Step 6: Final answer
    x = 7,457.69

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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.