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Finding the Fourth Proportional to 30,964.88, 46,401.76 and 13,847.02

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Solution

The fourth proportional to 30,964.88, 46,401.76 and 13,847.02 is: 20,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.88 : 46,401.76 = 13,847.02 : x
  2. Step 2: Convert to fraction form
    30,964.88/46,401.76 = 13,847.02/x
  3. Step 3: Cross multiply
    30,964.88x = 46,401.76 × 13,847.02
  4. Step 4: Simplify right side
    30,964.88x = 642,526,000.06
  5. Step 5: Solve for x
    x = 642,526,000.06/30,964.88
  6. Step 6: Final answer
    x = 20,750.15

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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.