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Finding the Fourth Proportional to 30,994.64, 42,773.64 and 18,432.08

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Solution

The fourth proportional to 30,994.64, 42,773.64 and 18,432.08 is: 25,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.64 : 42,773.64 = 18,432.08 : x
  2. Step 2: Convert to fraction form
    30,994.64/42,773.64 = 18,432.08/x
  3. Step 3: Cross multiply
    30,994.64x = 42,773.64 × 18,432.08
  4. Step 4: Simplify right side
    30,994.64x = 788,407,154.37
  5. Step 5: Solve for x
    x = 788,407,154.37/30,994.64
  6. Step 6: Final answer
    x = 25,436.89

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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.