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Finding the Fourth Proportional to 30,956, 42,720.08 and 16,808.84

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Solution

The fourth proportional to 30,956, 42,720.08 and 16,808.84 is: 23,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 42,720.08 = 16,808.84 : x
  2. Step 2: Convert to fraction form
    30,956/42,720.08 = 16,808.84/x
  3. Step 3: Cross multiply
    30,956x = 42,720.08 × 16,808.84
  4. Step 4: Simplify right side
    30,956x = 718,074,989.51
  5. Step 5: Solve for x
    x = 718,074,989.51/30,956
  6. Step 6: Final answer
    x = 23,196.63

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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.