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Finding the Fourth Proportional to 20,590.64, 30,827.10 and 19,282.80

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Solution

The fourth proportional to 20,590.64, 30,827.10 and 19,282.80 is: 28,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.64 : 30,827.10 = 19,282.80 : x
  2. Step 2: Convert to fraction form
    20,590.64/30,827.10 = 19,282.80/x
  3. Step 3: Cross multiply
    20,590.64x = 30,827.10 × 19,282.80
  4. Step 4: Simplify right side
    20,590.64x = 594,432,803.88
  5. Step 5: Solve for x
    x = 594,432,803.88/20,590.64
  6. Step 6: Final answer
    x = 28,869.08

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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.