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Finding the Fourth Proportional to 19,800.62, 29,701.05 and 4,807.70

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Solution

The fourth proportional to 19,800.62, 29,701.05 and 4,807.70 is: 7,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800.62 : 29,701.05 = 4,807.70 : x
  2. Step 2: Convert to fraction form
    19,800.62/29,701.05 = 4,807.70/x
  3. Step 3: Cross multiply
    19,800.62x = 29,701.05 × 4,807.70
  4. Step 4: Simplify right side
    19,800.62x = 142,793,738.09
  5. Step 5: Solve for x
    x = 142,793,738.09/19,800.62
  6. Step 6: Final answer
    x = 7,211.58

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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.