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Finding the Fourth Proportional to 5,283.99, 7,926.53 and 1,820.43

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Solution

The fourth proportional to 5,283.99, 7,926.53 and 1,820.43 is: 2,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.99 : 7,926.53 = 1,820.43 : x
  2. Step 2: Convert to fraction form
    5,283.99/7,926.53 = 1,820.43/x
  3. Step 3: Cross multiply
    5,283.99x = 7,926.53 × 1,820.43
  4. Step 4: Simplify right side
    5,283.99x = 14,429,683.91
  5. Step 5: Solve for x
    x = 14,429,683.91/5,283.99
  6. Step 6: Final answer
    x = 2,730.83

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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.