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Finding the Fourth Proportional to 20,582.70, 30,874.05 and 19,200.30

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Solution

The fourth proportional to 20,582.70, 30,874.05 and 19,200.30 is: 28,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.70 : 30,874.05 = 19,200.30 : x
  2. Step 2: Convert to fraction form
    20,582.70/30,874.05 = 19,200.30/x
  3. Step 3: Cross multiply
    20,582.70x = 30,874.05 × 19,200.30
  4. Step 4: Simplify right side
    20,582.70x = 592,791,022.22
  5. Step 5: Solve for x
    x = 592,791,022.22/20,582.70
  6. Step 6: Final answer
    x = 28,800.45

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1.5x scale

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.