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Finding the Fourth Proportional to 30,590.76, 45,847.26 and 13,959.84

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Solution

The fourth proportional to 30,590.76, 45,847.26 and 13,959.84 is: 20,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.76 : 45,847.26 = 13,959.84 : x
  2. Step 2: Convert to fraction form
    30,590.76/45,847.26 = 13,959.84/x
  3. Step 3: Cross multiply
    30,590.76x = 45,847.26 × 13,959.84
  4. Step 4: Simplify right side
    30,590.76x = 640,020,414.04
  5. Step 5: Solve for x
    x = 640,020,414.04/30,590.76
  6. Step 6: Final answer
    x = 20,922.02

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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.