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Finding the Fourth Proportional to 30,556, 42,168.90 and 17,978.32

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Solution

The fourth proportional to 30,556, 42,168.90 and 17,978.32 is: 24,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556 : 42,168.90 = 17,978.32 : x
  2. Step 2: Convert to fraction form
    30,556/42,168.90 = 17,978.32/x
  3. Step 3: Cross multiply
    30,556x = 42,168.90 × 17,978.32
  4. Step 4: Simplify right side
    30,556x = 758,125,978.25
  5. Step 5: Solve for x
    x = 758,125,978.25/30,556
  6. Step 6: Final answer
    x = 24,811.03

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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.