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Finding the Fourth Proportional to 19,830, 27,365.40 and 10,998

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Solution

The fourth proportional to 19,830, 27,365.40 and 10,998 is: 15,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 27,365.40 = 10,998 : x
  2. Step 2: Convert to fraction form
    19,830/27,365.40 = 10,998/x
  3. Step 3: Cross multiply
    19,830x = 27,365.40 × 10,998
  4. Step 4: Simplify right side
    19,830x = 300,964,669.20
  5. Step 5: Solve for x
    x = 300,964,669.20/19,830
  6. Step 6: Final answer
    x = 15,177.24

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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.