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Finding the Fourth Proportional to 21,654, 29,897.10 and 13,285.08

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Solution

The fourth proportional to 21,654, 29,897.10 and 13,285.08 is: 18,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 29,897.10 = 13,285.08 : x
  2. Step 2: Convert to fraction form
    21,654/29,897.10 = 13,285.08/x
  3. Step 3: Cross multiply
    21,654x = 29,897.10 × 13,285.08
  4. Step 4: Simplify right side
    21,654x = 397,185,365.27
  5. Step 5: Solve for x
    x = 397,185,365.27/21,654
  6. Step 6: Final answer
    x = 18,342.36

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1.5x scale

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.