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Finding the Fourth Proportional to 30,741.01, 42,415.07 and 20,511.92

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Solution

The fourth proportional to 30,741.01, 42,415.07 and 20,511.92 is: 28,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.01 : 42,415.07 = 20,511.92 : x
  2. Step 2: Convert to fraction form
    30,741.01/42,415.07 = 20,511.92/x
  3. Step 3: Cross multiply
    30,741.01x = 42,415.07 × 20,511.92
  4. Step 4: Simplify right side
    30,741.01x = 870,014,526.11
  5. Step 5: Solve for x
    x = 870,014,526.11/30,741.01
  6. Step 6: Final answer
    x = 28,301.43

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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.