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Finding the Fourth Proportional to 19,718, 29,562.42 and 11,925.08

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Solution

The fourth proportional to 19,718, 29,562.42 and 11,925.08 is: 17,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718 : 29,562.42 = 11,925.08 : x
  2. Step 2: Convert to fraction form
    19,718/29,562.42 = 11,925.08/x
  3. Step 3: Cross multiply
    19,718x = 29,562.42 × 11,925.08
  4. Step 4: Simplify right side
    19,718x = 352,534,223.49
  5. Step 5: Solve for x
    x = 352,534,223.49/19,718
  6. Step 6: Final answer
    x = 17,878.80

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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.