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Finding the Fourth Proportional to 30,494.20, 45,719.70 and 13,862.20

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Solution

The fourth proportional to 30,494.20, 45,719.70 and 13,862.20 is: 20,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.20 : 45,719.70 = 13,862.20 : x
  2. Step 2: Convert to fraction form
    30,494.20/45,719.70 = 13,862.20/x
  3. Step 3: Cross multiply
    30,494.20x = 45,719.70 × 13,862.20
  4. Step 4: Simplify right side
    30,494.20x = 633,775,625.34
  5. Step 5: Solve for x
    x = 633,775,625.34/30,494.20
  6. Step 6: Final answer
    x = 20,783.48

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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.