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Finding the Fourth Proportional to 20,520, 30,784.50 and 11,639.52

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Solution

The fourth proportional to 20,520, 30,784.50 and 11,639.52 is: 17,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 30,784.50 = 11,639.52 : x
  2. Step 2: Convert to fraction form
    20,520/30,784.50 = 11,639.52/x
  3. Step 3: Cross multiply
    20,520x = 30,784.50 × 11,639.52
  4. Step 4: Simplify right side
    20,520x = 358,316,803.44
  5. Step 5: Solve for x
    x = 358,316,803.44/20,520
  6. Step 6: Final answer
    x = 17,461.83

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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.