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Finding the Fourth Proportional to 30,874.23, 42,607.22 and 18,944.15

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Solution

The fourth proportional to 30,874.23, 42,607.22 and 18,944.15 is: 26,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.23 : 42,607.22 = 18,944.15 : x
  2. Step 2: Convert to fraction form
    30,874.23/42,607.22 = 18,944.15/x
  3. Step 3: Cross multiply
    30,874.23x = 42,607.22 × 18,944.15
  4. Step 4: Simplify right side
    30,874.23x = 807,157,259.01
  5. Step 5: Solve for x
    x = 807,157,259.01/30,874.23
  6. Step 6: Final answer
    x = 26,143.40

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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.