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Finding the Fourth Proportional to 30,656.40, 45,960.30 and 16,805.40

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Solution

The fourth proportional to 30,656.40, 45,960.30 and 16,805.40 is: 25,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.40 : 45,960.30 = 16,805.40 : x
  2. Step 2: Convert to fraction form
    30,656.40/45,960.30 = 16,805.40/x
  3. Step 3: Cross multiply
    30,656.40x = 45,960.30 × 16,805.40
  4. Step 4: Simplify right side
    30,656.40x = 772,381,225.62
  5. Step 5: Solve for x
    x = 772,381,225.62/30,656.40
  6. Step 6: Final answer
    x = 25,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.