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Finding the Fourth Proportional to 19,712, 27,202.56 and 13,435.34

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Solution

The fourth proportional to 19,712, 27,202.56 and 13,435.34 is: 18,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 27,202.56 = 13,435.34 : x
  2. Step 2: Convert to fraction form
    19,712/27,202.56 = 13,435.34/x
  3. Step 3: Cross multiply
    19,712x = 27,202.56 × 13,435.34
  4. Step 4: Simplify right side
    19,712x = 365,475,642.47
  5. Step 5: Solve for x
    x = 365,475,642.47/19,712
  6. Step 6: Final answer
    x = 18,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.