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Finding the Fourth Proportional to 19,411.90, 29,110.49 and 6,929.60

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Solution

The fourth proportional to 19,411.90, 29,110.49 and 6,929.60 is: 10,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411.90 : 29,110.49 = 6,929.60 : x
  2. Step 2: Convert to fraction form
    19,411.90/29,110.49 = 6,929.60/x
  3. Step 3: Cross multiply
    19,411.90x = 29,110.49 × 6,929.60
  4. Step 4: Simplify right side
    19,411.90x = 201,724,061.04
  5. Step 5: Solve for x
    x = 201,724,061.04/19,411.90
  6. Step 6: Final answer
    x = 10,391.77

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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.