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Finding the Fourth Proportional to 19,838, 29,763.44 and 15,470.48

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Solution

The fourth proportional to 19,838, 29,763.44 and 15,470.48 is: 23,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 29,763.44 = 15,470.48 : x
  2. Step 2: Convert to fraction form
    19,838/29,763.44 = 15,470.48/x
  3. Step 3: Cross multiply
    19,838x = 29,763.44 × 15,470.48
  4. Step 4: Simplify right side
    19,838x = 460,454,703.25
  5. Step 5: Solve for x
    x = 460,454,703.25/19,838
  6. Step 6: Final answer
    x = 23,210.74

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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.