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Finding the Fourth Proportional to 30,421.14, 41,978.42 and 16,990.52

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Solution

The fourth proportional to 30,421.14, 41,978.42 and 16,990.52 is: 23,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.14 : 41,978.42 = 16,990.52 : x
  2. Step 2: Convert to fraction form
    30,421.14/41,978.42 = 16,990.52/x
  3. Step 3: Cross multiply
    30,421.14x = 41,978.42 × 16,990.52
  4. Step 4: Simplify right side
    30,421.14x = 713,235,184.58
  5. Step 5: Solve for x
    x = 713,235,184.58/30,421.14
  6. Step 6: Final answer
    x = 23,445.38

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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.