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Finding the Fourth Proportional to 5,814.20, 8,721.30 and 5,133.80

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Solution

The fourth proportional to 5,814.20, 8,721.30 and 5,133.80 is: 7,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.20 : 8,721.30 = 5,133.80 : x
  2. Step 2: Convert to fraction form
    5,814.20/8,721.30 = 5,133.80/x
  3. Step 3: Cross multiply
    5,814.20x = 8,721.30 × 5,133.80
  4. Step 4: Simplify right side
    5,814.20x = 44,773,409.94
  5. Step 5: Solve for x
    x = 44,773,409.94/5,814.20
  6. Step 6: Final answer
    x = 7,700.70

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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.