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Finding the Fourth Proportional to 38,704, 53,412.14 and 21,712.03

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Solution

The fourth proportional to 38,704, 53,412.14 and 21,712.03 is: 29,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 53,412.14 = 21,712.03 : x
  2. Step 2: Convert to fraction form
    38,704/53,412.14 = 21,712.03/x
  3. Step 3: Cross multiply
    38,704x = 53,412.14 × 21,712.03
  4. Step 4: Simplify right side
    38,704x = 1,159,685,986.04
  5. Step 5: Solve for x
    x = 1,159,685,986.04/38,704
  6. Step 6: Final answer
    x = 29,962.95

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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.