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Finding the Fourth Proportional to 38,406.68, 53,001.44 and 21,412

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Solution

The fourth proportional to 38,406.68, 53,001.44 and 21,412 is: 29,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.68 : 53,001.44 = 21,412 : x
  2. Step 2: Convert to fraction form
    38,406.68/53,001.44 = 21,412/x
  3. Step 3: Cross multiply
    38,406.68x = 53,001.44 × 21,412
  4. Step 4: Simplify right side
    38,406.68x = 1,134,866,833.28
  5. Step 5: Solve for x
    x = 1,134,866,833.28/38,406.68
  6. Step 6: Final answer
    x = 29,548.68

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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.