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Finding the Fourth Proportional to 19,710, 29,713.59 and 18,441.54

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Solution

The fourth proportional to 19,710, 29,713.59 and 18,441.54 is: 27,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 29,713.59 = 18,441.54 : x
  2. Step 2: Convert to fraction form
    19,710/29,713.59 = 18,441.54/x
  3. Step 3: Cross multiply
    19,710x = 29,713.59 × 18,441.54
  4. Step 4: Simplify right side
    19,710x = 547,964,358.53
  5. Step 5: Solve for x
    x = 547,964,358.53/19,710
  6. Step 6: Final answer
    x = 27,801.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.