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Finding the Fourth Proportional to 30,654, 42,302.60 and 17,406

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Solution

The fourth proportional to 30,654, 42,302.60 and 17,406 is: 24,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 42,302.60 = 17,406 : x
  2. Step 2: Convert to fraction form
    30,654/42,302.60 = 17,406/x
  3. Step 3: Cross multiply
    30,654x = 42,302.60 × 17,406
  4. Step 4: Simplify right side
    30,654x = 736,319,055.60
  5. Step 5: Solve for x
    x = 736,319,055.60/30,654
  6. Step 6: Final answer
    x = 24,020.33

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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.