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Finding the Fourth Proportional to 19,762.24, 29,643.36 and 7,921.38

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Solution

The fourth proportional to 19,762.24, 29,643.36 and 7,921.38 is: 11,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.24 : 29,643.36 = 7,921.38 : x
  2. Step 2: Convert to fraction form
    19,762.24/29,643.36 = 7,921.38/x
  3. Step 3: Cross multiply
    19,762.24x = 29,643.36 × 7,921.38
  4. Step 4: Simplify right side
    19,762.24x = 234,816,319.04
  5. Step 5: Solve for x
    x = 234,816,319.04/19,762.24
  6. Step 6: Final answer
    x = 11,882.07

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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.